Organic Chemistry - Important Concepts

Organic Chemistry - Important ConceptsOrganic chemistry has moved into the top of the class rankings, as in the tests of the national professional society, on the first day it made the number 1 spot in the fields of solvents, metals, acids, and other topics of science. A student who wants to excel in school can easily learn all the basics of organic chemistry with this new edition of this great study guide. You can easily learn the chemistry by reading this book by scanning the front and back covers. These texts are used for teaching students organic chemistry, organic systems chemistry, and organic, structural chemistry.The high school students can use this to also study the chemistry in chemistry labs. The texts are useful to help the students understand the chemistry properly. They use it for practice and in the laboratories, and they don't have to wait until the end of the day to finish one lesson. The students will always remember the facts about what they are learning.This is a good experience for the students who want to take this course to have a better college experience. These texts are easy to read, and they don't keep you in the classroom and waiting for an extension. This way, you will be able to learn the chemistry fast, and it will also let you do the practical experiments that the students will never forget.The high school students can easily make use of the software that these textbooks give, so that they can easily create their own projects and remember them better. The students can easily use the computer and write the projects with ease. The students will also be able to prepare the projects according to the materials that they have. There are many online sources on how to make projects on the computer.The high school students who can't focus on the project until the last minute can easily use the multi-step format to get a good understanding. This makes it easy for the students to remember what they learned in the next lessons. You can cust omize the project by making the laboratory into a good science classroom.The important chemicals and additives of a chemist will be seen very clearly in this text, so you can easily understand them and don't have to waste your time on the descriptions. The topics that the students can follow easily with the information given are the textbooks should provide.Organic chemistry is a very interesting topic to study with the help of the texts that these textbooks provide. The students will have the course materials to learn by reading in the school and through the Internet.

All About Physics

All About Physics What is Physics? ChaptersPhysics GlossaryFamous PhysicistsKey Concepts in PhysicsPhysics facts that Will Amaze YouFrom Archimedes’ Principle, dating back to around 250 BCE to the race to prove quantum gravity, the curiosity of our physical world has stirred the human mind as no other discipline ever has.And yet, for the most part, people are afraid of physics. Students dread learning it and schools report ongoing difficulties in attracting and retaining qualified physics (and maths) teachers.To be sure, physics is a far-reaching study, ranging from the subatomic to the astronomical.The key point to remember is that studying physics, like studying anything, is not an all-encompassing proposition.Of course, one must learn the fundamentals of physics, formulae and concepts, but after that, you get to choose where to direct your passion!Superprof helps you get a grasp on those physics basics: properties of matter and the laws that govern their behaviour, as well as the forces that act on them.It is als o our pleasure to introduce you to physicists past and present who have all radically changed the way we see our environment.Naturally, you should know some of the words associated with the discipline, too...fields of study at the quantum level include:Quantum mechanics, including quantum field theory, concerns itself with the smallest scales of energy.It is also known as quantum physics, quantum theory and matrix mechanicsQuantum entanglement lays out the discourse of studying one particle affecting all other particles connected to it.Quantum optics is the behavioural study of light; more specifically, photonsQuantum tunnelling describes the phenomenon of matter travelling without passing through any intervening spaceQuantum electrodynamics: the successful marriage of the Special Relativity Theory and quantum mechanicsNot all quantum theories have substance. For example, quantum gravity, the postulate that seeks to describe gravitational forces in terms of quantum mechanics is yet to be proven.Bosons and fermions are the two classes of subatomic particles, named after theoretical physicist Satyendra Nath Bose and theoretical and experimental physicist Enrico Fermi.A third class called hadron is a composite particle consisting of two or more quarks. Hadrons bridge the gap between fermions and bosons.Quarks are another type of elementary particle; the only ones capable of experiencing all four fundamental forces.Fundamental forces are electromagnetism, gravity, the strong force and the weak force.There are so many terms to describe the physical realm; why not dig a little deeper and discover more?We’ve tossed quite a few names into these descriptions; let us now talk about other great minds that have advanced our understanding of our world!Check here for a creditable physics maths tutor.Famous PhysicistsMany think Albert Einstein is the father of modern physics but he is in fact the premier of classical physics! Source: Pixabay Credit: Barbara A LaneMany peop le say that we are a celebrity-obsessed culture but, if that were true, everyone would know these names!Physics was established as a discipline during the Renaissance period, even though plenty of study into the nature of our physical world had taken place prior to that time.Although Galileo made substantial advances in the studies of our cosmos, even debunking several long-held theories, it is actually William Gilbert who should be accorded the title of First Modern Scientist. William Gilbert asserted the need for sure experiments and demonstrated arguments.Until then, physicists had either indulged in theory with no experimentation or in actual work without formulating any theory that would make their work possible to replicate.Thanks to Mr Gilbert’s avowal to eschew conjecture and philosophical opinion, other scientists embraced his ethos and the science of physics progressed by leaps and bounds.Even today, physicists of every type uphold his research philosophy, including:Alan Guth, a theoretical physicist whose work in elementary particle theory has expanded our knowledge of the Big Bang. In fact, he pioneered the theory of cosmic expansion.Edward Witten, a professor of mathematical physics, conducts research in string theory and quantum gravity, among other fields of mathematical physics.Roger Penrose is the teacher of the late, great Stephen Hawking. Theirs was never a case of the student surpassing the master; they enjoyed a long collaboration which, at one point, resulted in their being jointly awarded the Wolfe Prize.Even though the field of physics has rather more male than female researchers, women in physics stand toe to toe with regard to discovery and advancement of science.While still a graduate student, astrophysicist Jocelyn Bell Burnell was the first to observe and record pulsars; a discovery which earned the Nobel Prize in Physics.Fabiola Gianotti, particle physicist and the first female director-general of CERN, was the leader of the ATL AS project through which the Higgs boson was first observed.Astrophysicist Sandra Faber focused her research on how galaxies evolve. She was the first to postulate that, the brighter the galaxy, the faster its stars must be travelling.There are so many amazing people exploring our universe, in theory, and through discovery! Why not learn more about them?Key Concepts in PhysicsNo matter how renown the physicist or how great his/her accomplishments, every physical theorem and all physical discoveries are based on the same few fundamental concepts.Let us, for a moment, contemplate the universe: large and still expanding, filled with energy and matter. In itself, the universe might be an overwhelming concept; after all, it is so very big and mostly unexplored!However, the same forces that govern the physics of our universe also apply to elementary particles.They are gravitation, electromagnetic force, the weak and the strong nuclear forces.These forces are external to matter and act upo n it, either attracting or repelling; binding or creating.It is important to not mistake force with energy. Everything has energy, be it potential energy, kinetic energy; elastic or radiant energy.Waves carry energy!Sound waves, microwaves; seismic waves and gravitational waves are all energy transport phenomena.What is particularly interesting about them is that they transport energy but not matter.Hire a Physics Maths tutor to help you understand.Gravitational waves are particularly puzzling because they are caused by the most energetic processes in our universe and ripple along spacetime.In spite of having been predicted by Albert Einstein in 1916, such waves have only recently been detected; in 2016, to be exact!Really, key concepts of physics are not difficult to master and, once you do, you could go on to work in theoretical physics, experimental physics or even condensed matter physics â€" one of the most active fields of physics study today!Physics facts that Will Amaze YouY our introduction to the physics world will be easy with these amazing physics facts! Source: Pixabay Credit: GeraltDo you still think physics is a difficult subject? Has nothing said so far eased your fear of learning about this physical science?What if we told you that Dr Who was not so much science fiction as science fact? Well, at least it includes aspects of modern science...Our current model of cosmology includes infinite parallel universes, all happily existing side by side.Because they are infinite, everything that could have happened or will happen has already happened, in one universe or the other. Does that sound a bit familiar?What about space time and tearing a hole in the fabric of reality?Even the Doctor’s sonic screwdriver is a valid physics postulate: set to the right frequency, such a device may well be able to excite molecules into behaving differently.Truth is, for great entertainment, that serial does much to endorse the laws of physics!Now we consider plasma. It flows through your veins and fills the cosmos; plasma even provides high-definition television viewing!Plasma is one of the four fundamental states of matter; the other three being liquid, solid and gas.The word’s Greek meaning, mouldable substance, makes it uniquely applicable to the fields of medical physics â€" a relatively new field of research, engineering (semiconductor fabrication) and, of course, its study in the field of astrophysics.Fortunately, although they bear the same name, the plasma in your body is vastly different from the sun’s plasma. If they were of the same composition, we would all explode!Still, plasma physics is a most intriguing field of study...There are so many fascinating and amazing aspects to our physical world and so many fields to declare oneself in; from molecular physics and applied physics through computational physics, all the way to high energy physics... where would you direct your passion?Toward the skies, studying the cosmos? Or does p article physics appeal to you? Have you always dreamt of smashing atoms in the Great Hadron Collider?All you have to do is not be afraid of your physics education. After that, the infinity of space is the limit... literally!

15 Good Reasons To Take Portuguese Lessons

15 Good Reasons To Take Portuguese Lessons Why Take Portuguese Classes? ChaptersThe Benefits Of Taking Portuguese LessonsPortuguese is a wonderful language, even if sometimes it seems to be underappreciated. However, if you’ve been thinking about whether learning Portuguese could be right for you, then you’ve come to the right place.Below we outline just some of the many reasons why you might want to take up Portuguese classes.Mozambique; andCape Verde.This means that Portuguese can be a great language to have up your sleeve, wherever you travel to!Not Many English-Speakers Study PortugueseEnglish primary and secondary schools tend to show a preference for teaching languages such as:French;Spanish;German; andLanguages like Mandarin, over languages such as Portuguese.As a result, it means that not many people in the UK are taught Portuguese, and fewer still go on to study the subject at A-Level or at a university. If you like being a point of difference, then Portuguese is certainly the way to go, as you can learn a widely-spoken language while distin guishing yourself from those who speak more widely-taught languages such as French.Interact With Portuguese CommunitiesJust as Portuguese isn’t just spoken in Brazil and Portugal, it’s equally true that there are plenty of Portuguese communities across the world. For instance, there are vibrant Portuguese communities in London and established Portuguese communities in France, so learning Portuguese should give you the opportunity to reach out to these communities and learn more about Portuguese culture through them.It Can Help You Stand Out In The Business WorldAs mentioned above, Portuguese isn’t always a popular second language to learn in the UK. This means that you can really stand out with your CV if you can put down that you speak a language such as Portuguese.In particular, if you’d like to apply for a job at a company where you know the company has close trading links with Portugal or Brazil, or it’s even a Portuguese or Brazilian company, your language skills migh t just make you stand out from other applicants and let you get your foot in the door.Brazil Is One Of The World’s Largest EconomiesAlthough the Brazilian economy has not had the best time of late, with the region entering into recession in 2014, Brazil still remains a country of economic importance in the Latin America region.As a result, if you think that your career will involve some form of interaction with Latin American or Brazilian companies, then it may well be worth taking the time to learn Portuguese.Business-focussed Portuguese courses can really help if you need to learn Portuguese for business purposes. (Image Source: CC0 1.0, rawpixel, Pixabay)You Can Develop Your Understanding Of Brazilian MusicPortuguese is known to sound like quite a musical language even when it’s spoken, but there’s a lot more to gain when it comes to understanding Portuguese music, especially Brazilian music when you learn the language. Whether you’re interested in Fado, Samba, or another style, learning music can be a great way to practice your Portuguese listening skills, and can also be a wonderful way to build your vocabulary.Access New LiteratureThere are also a great many Portuguese speaking writers that you will be able to appreciate once you learn Portuguese. Whether you prefer the works of Brazilian writers such as João Guimarães or Portuguese writers such as José Saramago, there are plenty of gems to read. What’s more, reading Portuguese works will help develop your reading skills and your range of vocabulary.You Can Better Understand Brazilian And Portuguese CultureBesides the music and literature of Portugal and Brazil, learning Portuguese will allow you to immerse yourself in Portuguese and/or Brazilian culture much more easily, whether that involves learning more about local traditions and customs, or the kinds of dishes that locals eat.Portuguese Can Help You Learn SpanishIf you’ve taken a Portuguese course London, then you’ll be pleased to h ear that it becomes much, much easier to learn Spanish as well. This is because Portuguese and Spanish are both romance languages, which means that they generally share common underlying rules when it comes to grammar, and the vocabulary in each language is similar as well.The following languages are considered romance languages:French;Spanish;Portuguese;Italian; andRomanian.If You Already Speak A Romance Language, Portuguese Should Be Easier To LearnFollowing on from the above, if you already happen to speak French, Spanish, or another romance language, then learning Portuguese should also be an easier task for you compared to someone who can only speak English.Having said that, learning Portuguese does come with its own set of challenges, such as mastering Portuguese pronunciation, but you’ll definitely have a head start on other learners if you already speak a romance language.It Will Help You On Your Travels To Portugal Or BrazilIf you’re planning on travelling to Portugal o r Brazil, then you’ve already got the perfect excuse to learn either Brazilian Portuguese or the Portuguese that’s spoken in Portugal!If you speak the language of the country you’re travelling to, then it makes life so much easier, whether it’s a case of ordering food, buying plane or train tickets, or even simple things such as asking for directions.Portuguese Will Help You If You Move CountryIn addition to helping you when you’re travelling around the country, speaking Portuguese is a huge asset to have if you’re considering moving to a Portuguese-speaking country, such as Brazil.Regardless of whether you’d like to relocate for work or personal reasons, if you are moving overseas then taking Portuguese lessons well before you move can help you feel more settled in when you do finally move in to your new place, and it will also help you make new friends and integrate yourself into your local community.Reading Portuguese or Brazilian novels is a great way to supplement what you're learning in Portuguese lessons. (Image Source: CC0 1.0, Free-Photos, Pixabay)Connect With Brazilian FootballIf you’re a fan of football (known as soccer around the world), then learning Portuguese can be a fantastic way of bolstering your appreciation of the game!Football is hugely popular in Europe, and Portugal is no exception. Equally, Brazil is famous for the quality of its football and football players, and if you’re interested in following the local Brazilian football leagues, or want to watch the Copa do Brasil, then learning Portuguese is a wonderful way to achieve this.It’s A Great Way To Challenge YourselfAs we’ve seen above, there are so many reasons why learning Portuguese as a second language is a great idea. Not only is it spoken by so many people in the world, but it’s also a language that will allow you to explore the rich Portuguese and Brazilian cultures.It’s also a brilliant language to learn if you like a challenge. Portuguese does have i ts difficulties, such as its notoriously difficult pronunciation, so new learners should expect to put a lot of time and effort into learning the language before they gain proficiency in it.But, with many things, good things come to those who wait. Many people should find that they feel incredibly proud that they've managed to gain proficiency or maybe even fluency in Portuguese, and the only way to get there is to start learning the language. As such, try to master the basics of grammar, spelling, and pronunciation first, and then work your way towards learning more complex words, phrases, and tenses.If you need any help with your Portuguese language learning journey, then you should consider hiring a personal tutor to help you with things such as:Developing your knowledge of Portuguese grammar;Working on expanding your vocabulary and knowledge of common phrases and greetings; andGiving you the opportunity to regularly speak with a Portuguese speaker.Enter your postcode on the Supe rprof site to find Portuguese tutors that are able to offer personal online Portuguese lessons or one on one lessons in your local area â€" it’s that simple! IrineuPortuguese Teacher £25/h1st lesson free!Discover all our tutors GabrielaPortuguese Teacher 5.00 (2) £20/h1st lesson free!Discover all our tutors JoanaPortuguese Teacher 5.00 (1) £12/h1st lesson free!Discover all our tutors LouisePortuguese Teacher 5.00 (2) £27/h1st lesson free!Discover all our tutors RodrigoPortuguese Teacher £20/h1st lesson free!Discover all our tutors BlancaPortuguese Teacher £20/h1st lesson free!Discover all our tutors CarolinaPortuguese Teacher 5.00 (5) £30/h1st lesson free!Discover all our tutors AdamPortuguese Teacher 5.00 (6) £11/h1st lesson free!Discover all our tutors

The Different Classes Youll Have In College

The Different Classes You'll Have In College Class schedules and formats are pretty routine in high school. You arrive around eight in the morning, situate yourself in an ordinarily-sized classroom for typically no more than 50 minutes, then move on and repeat that process about seven times throughout the day. Once that designated time in mid-afternoon strikes, youre done for the day and free to return home. This high school class routine is comfortable. You know what to expect and when to expect it. Moreover, there arent many surprises when it comes to the type of classes youll encounter. They all last about the same amount of time and require the same kind of attention from you. In college, however, it is not that predictable. College students get the freedom to create their own schedule with the options of many different types of classes that they need to cover before they graduate. But the subject matter isnt the only thing that differs these classes from one another. Many varying elements make up the final product of a college class, leaving it to fall under one of a few categories. It is important to realize what kind of class you are signing up for, past the title and course description. You will be far better prepared for the course if you know how long each session lasts, how frequently it occurs throughout the week, how much discussion versus hands-on work is involved, etc. Thankfully, it is quite easy to recognize which category your course falls under. Go through the following list to determine what your various classes are going to need from you. Some will require more energy, some will require more talking, some will require more research, and some will require much less of these things. It just depends on certain factors and is for you to figure out before you get started. The 3 Days a Week Discussion: This class will hit closest to home for recent high school graduates. Usually 50 minutes long on Monday/Wednesday/Friday, this type of class places you in a typical classroom setting with approximately 20-25 students. You will sit at your desk, take notes, have discussions, and occasionally break into small groups for further in-class assignments. There is nothing too intimidating about this type of class, as it requires the same sort of regular attendance, participation, and classmate interaction that you are used to. You will need to be significantly more invested in it than you were in high school, however, if you want to effectively grasp the material but that, of course, applies to college-level classes in general. This type of class will be most comfortable for you because its approach is fairly simple and recognizable. Here are 5 habits to avoid during classthat you may want to check out. The Giant Lecture: The image of 200 students in endless rows of a lecture hall is one of the most popular visualizations of college academia. It is a classic type of class and one that you will really only learn about by directly experiencing it. Make yourself aware of how different the environment will be beforehand, however. It is a give-in that the room will be large and a bit overwhelming, but you should also recognize how different the seating will be from the common desk you are used to. Especially if the lecture has the maximum amount of students registered, you will be placed extremely close to your peers and have very little room to take notes. It is possible and necessary to do, but a little challenging at first with the lack of much personal space. Be ready to miss some of the things the professor says, as he or she will be at a distance from you and speaking to an exceptionally large group of people. You will need to catch up on your own time, which is one of the biggest things to remember about lectures. Taking a lecture requires a great deal of learning and re-learning concepts outside of scheduled class time; so, be ready to extend this class outside of its regular hours. You may want to check out these tips on how to take notes in a college lecturebefore your first day of class! The Lengthy Once a Week Discussion: If you are going to be absent for a class, do your best to make sure its not this one. Since it occurs only once a week, it will most likely be around 3 hours long. As draining as that can be, it is incredibly important that you attend each session so you can stay well on track. You should put a stronger focus on taking as many detailed notes as you can in this class since your time in it is limited. Tests will come around quicker than you expect and the syllabus objectives will fly by. These particular class sessions may not be the most exciting, but you must bring yourself to pay full attention during each one or else you will easily fall behind. Just think, instead of splitting it up into the 3 Days a Week Discussion, you are getting it all done at once. On one hand, that can be stressful but on another hand, that can be quite relieving. Here are some great tips on how to participate in a class discussion. The Lab: Usually a science-related course, labs are exactly what they sound like. You cannot come to these classes half-asleep because you truly need to be alert to complete these tasks successfully. These assignments involve more active and physical work than writing up short-answer responses or analyzing a chapter in a novel. While in other classes, you spend a lot of time listening, labs require a lot of doing. Some of the concepts you will be quizzed on will involve things you can only learn by completing the lab projects attentively. Since those projects can often only be done in class at those designated times and not figured out on your own later, it is best to always save more than enough energy for this course. The Relaxed Elective: These are always a nice break in the middle of a hectic schedule. Especially since you probably wont have a chance to take one of these every semester, the semesters you do get to work one into your schedule will make you extra thankful. It is important to clarify that you should choose electives that do fulfill some graduate requirement without a doubt, you will find one that covers a credit you need. There are two simple things to remember about these courses. First off, enjoy. You could be taking yoga, kickboxing, modern dance, painting - there is no end to random college electives and there is no pressure. Just have fun and maybe youll even get something out of it. Secondly, however, you need to watch out for easy ways to mess up your grade. Most of these classes are seen as easy As and therefore students tend to put them on the backburner and give little to no attention to the syllabuses. Yet, random rules such as more than one unexcused absence will resu lt in an F or final paper on what you learned in Yoga due the last day of class are thrown in there to make sure students pay attention. Dont fall into that trap of forgetting that there is some work involved and protect your grade!

How To Prep For the ACT Reading Section

How To Prep For the ACT Reading Section ACT Reading section: 40 questions, 35 minutesFor most students, reading less is better. This might seem counterintuitive, but most people take too much time reading the passage and then remember too little of it. The better option is to attack the passage strategically so that you dont have to read the entire thing, or if you do, read it in small chunks. Look at the questions and see if there are any key words. These include proper nouns, dates or other numbers, or definition or category words. Try to find that key word in the passage and then read the couple sentences around it. Keep in mind that any words that are capitalized or numbers will pop out easily in the passage. Dont be afraid to underline these words or write yourself reminders in the margins! This way, you will know where to go back and look if a future question centers around the same issue. Also try to strategize the order to do the passages. The ACTReading always has four passages and they are always in the same order. Prose Fiction: This passage is an excerpt from a book or a short story. The key word strategy works to varying degrees on this passage. Sometimes the best option is to read this because stories are easier to remember than a collection of facts. Social Sciences: Covers issues like sociology, or how people work in history, or psychology. These passages might talk about a government program, or how people react to technology, or how reporters cover a story. Contains facts. Humanities: Includes things like music, art, literature, and entertainment. A passage could be about jazz, or the modern art movement, or a specific television show. Natural Sciences: This is a science passage that usually uses technical language and covers some kind of scientific discovery or movement. Start with the section you feel the most comfortable with and understand the best. Save the hardest for last. That way, if you run out of time, you will have to guess on a passage where you might have guessed on several questions anyway. Remember: if its not in the passage, dont pick that answer! Some answers sound good but are not actually in the passage. Find a sentence or word that backs up your answer choice. The more you can justify the choice, the more likely it is to be correct. If you want to ensure you are prepared for this section, consider taking some ACT practice tests,reviewing aprep book, or meeting with an ACT Reading tutorto enhance your skills.

How You Master Microeconomics With Online Tutors

How You Master Microeconomics With Online Tutors 0SHARESShare Economics in itself is fascinating to many a student and yet it is in this very subject that many students score poor grades. More often than not, students face exams with poor preparedness levels and with their lack of understanding of certain key concepts. It becomes all the more difficult to ace tough subjects such as microeconomics. Here are a couple of tips to help students master the subject from experts in the field such as an online microeconomics tutor; read on to learn more. Study chapters usually have an organized structure, study sequentially In subjects such as microeconomics, accountancy, etc. chapters are usually organized in a specific sequence and it is important that you read them in the designated fashion. This will help you get the full picture and aid in your learning of chapters towards the end. Skipping chapters and studying in a random fashion will not do you much good. Master the tools required to work with the subject A good understanding of charts, graphs and algebra is fundamental to learning microeconomics. Before you begin learning economics, it would be better if you could brush up your skills in these areas. In fact, this could even serve as the best microeconomics homework help you could ask for! Card Get the hang of opportunity cost and ceteris paribus In every subject, there are certain core ideas and concepts that require to be understood if you wish to study advanced topics and the concept of opportunity cost is one such in microeconomics. Similarly, when working with models in economics, you should completely understand what ceteris paribus means to make headway. Master elasticities  or you may be in trouble Work through lots of practise sets and problems to understand and interpret elasticities rather than memorizing the formula. This will help you in understanding the underlying concepts. Also, it is important that you focus and work on your assignments and homework in this area as well. When confused in microeconomics, seek expert help If you are confused about a particular topic, seek help either from teachers at school, your friends or simply connect with a tutor online for the require microeconomics assignment help or homework help. Do not proceed to the next topic unless and until you are clear about the one at hand. Top 15 Tips To Gear Up For Exams On The D Day With lots of practise, a methodical approach and diligence, you can master microeconomics and score top marks!

Definition of Alternate Interior Angles

Definition of Alternate Interior Angles Definition of alternate interior angles helps in understanding the concept about the alternate interior angles. Alternate interior angles are the angles formed when a line (Transversal) crosses two lines that are parallel to each other. They are pair of angles inside the parallel lines and on opposite sides of the transversal. Alternate interior angles are congruent (same). In real life, a good example to understand pairs of angles is a window plane. From the figure a and b are alternate interior angles. 1 and 2 are alternate interior angles So, a = b and 1= 2 Example 1: If angle a is 450 and angle 2 is 1350 then what is angle b and angle 1? Solution: As angle a and angle b are alternate interior angles, they are congruent. = So, a =b =45 = As angle 1 and 2 are alternate interior angles, they are also congruent. = So, 1 =2 =1350 Example 2: If angle 4 = 50 degree, find the measure of angle 2 and angle 3? Solution: The given angle 4 is equal to 500. = Since, Angle 4 is the interior angle and its alternate angle is 2. = Therefore, 4 = 2= 500 = Another pair of alternate interior angles is angle 1 and 3 = Angle 4 and 1 lie in the same line. So, sum of their angles = 1800 = Therefore, 50 + 1 = 180 = Then, 1 = 1300 = Since angle 1 and 3 are alternate interior angles = Therefore, 1 = 3 = 1300