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Maths
1 Dec 2025
287
1 page
Oliwia @oliwia_03
Angles formed by parallel lines and transversals are a fundamental concept in geometry, exploring the relationships between various... Show more
This page introduces the concept of angles formed when a transversal line intersects two parallel lines. The diagram illustrates various types of angles created in this geometric configuration.
Definition A transversal is a line that intersects two or more lines at distinct points.
The image shows two parallel lines intersected by a transversal, creating eight angles. These angles are categorized into three main types
Example In the diagram, the angles marked with single arcs on opposite sides of the transversal are alternate angles.
Example The angles marked with double arcs in corresponding positions are corresponding angles.
Interior Angles These are angles formed inside the parallel lines. There are two types of interior angles
a. Alternate Interior Angles These are non-adjacent angles on the inner side of the parallel lines and on opposite sides of the transversal.
b. Co-Interior Angles (also known as Supplementary Interior Angles) These are pairs of angles on the same side of the transversal and inside the parallel lines. They always sum to 180 degrees.
Highlight Understanding these angle relationships is crucial for solving geometric problems involving parallel lines and transversals.
The diagram effectively illustrates these concepts, using different arc markings to distinguish between the various types of angles. This visual representation helps students to easily identify and compare the different angle relationships.
Vocabulary
- Congruent Having the same size and shape.
- Supplementary Two angles that add up to 180 degrees.
This foundational knowledge of angles formed by parallel lines is essential for more advanced geometric concepts and problem-solving in mathematics.
Our AI Companion is a student-focused AI tool that offers more than just answers. Built on millions of Knowunity resources, it provides relevant information, personalised study plans, quizzes, and content directly in the chat, adapting to your individual learning journey.
You can download the app from Google Play Store and Apple App Store.
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
9
Smart Tools NEW
Transform this note into: ✓ 50+ Practice Questions ✓ Interactive Flashcards ✓ Full Mock Exam ✓ Essay Outlines
Explore the essential concepts of angles, including types of angles, properties of polygons, and angle relationships in geometry. This summary covers key formulas for calculating interior and exterior angles, as well as detailed characteristics of various quadrilaterals and triangles. Ideal for Year 7 students studying Module 8 on Angles.
MathsExplore the properties of interior and exterior angles in polygons. Learn how to calculate the sum of interior angles using the formula (n-2) x 180° and understand the relationship between interior and exterior angles. This summary covers triangles, quadrilaterals, pentagons, and hexagons, providing essential insights for geometry students.
MathsExplore key concepts in trigonometry and quadratic functions, including the area of triangles, sine and cosine rules, bearings, and the properties of quadratic graphs. This summary covers essential formulas and problem-solving techniques for evaluating functions and understanding the nature of quadratic equations.
MathsExplore the Sine and Cosine Rules for solving triangles in this comprehensive guide. Learn how to calculate unknown angles and side lengths using the Law of Sines and Law of Cosines, complete with worked examples and practice questions. Ideal for Edexcel and other exam boards.
MathsExplore the fundamental relationships between angles and side lengths in right triangles, including Pythagorean theorem and trigonometric ratios. This summary covers key concepts such as adjacent, opposite, and hypotenuse sides, essential for mastering trigonometry. Ideal for students preparing for exams or needing a quick reference.
MathsMaster key concepts in GCSE Higher Maths with this comprehensive summary covering geometry, algebra, probability, and circle theorems. Perfect for exam preparation, this resource includes essential formulas, angle facts, area calculations, and statistical measures to boost your understanding and performance. Ideal for students aiming for top grades.
MathsApp Store
Google Play
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
Best app on earth! no words because it’s too good
Thomas R
iOS user
Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.
Basil
Android user
This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.
Xander S
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now
Paul T
iOS user
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
Best app on earth! no words because it’s too good
Thomas R
iOS user
Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.
Basil
Android user
This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.
Xander S
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now
Paul T
iOS user
Oliwia
@oliwia_03
Angles formed by parallel lines and transversals are a fundamental concept in geometry, exploring the relationships between various types of angles created when a line intersects two parallel lines. This topic covers alternate angles, corresponding angles, and interior... Show more
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This page introduces the concept of angles formed when a transversal line intersects two parallel lines. The diagram illustrates various types of angles created in this geometric configuration.
Definition: A transversal is a line that intersects two or more lines at distinct points.
The image shows two parallel lines intersected by a transversal, creating eight angles. These angles are categorized into three main types:
Example: In the diagram, the angles marked with single arcs on opposite sides of the transversal are alternate angles.
Example: The angles marked with double arcs in corresponding positions are corresponding angles.
Interior Angles: These are angles formed inside the parallel lines. There are two types of interior angles:
a. Alternate Interior Angles: These are non-adjacent angles on the inner side of the parallel lines and on opposite sides of the transversal.
b. Co-Interior Angles (also known as Supplementary Interior Angles): These are pairs of angles on the same side of the transversal and inside the parallel lines. They always sum to 180 degrees.
Highlight: Understanding these angle relationships is crucial for solving geometric problems involving parallel lines and transversals.
The diagram effectively illustrates these concepts, using different arc markings to distinguish between the various types of angles. This visual representation helps students to easily identify and compare the different angle relationships.
Vocabulary:
- Congruent: Having the same size and shape.
- Supplementary: Two angles that add up to 180 degrees.
This foundational knowledge of angles formed by parallel lines is essential for more advanced geometric concepts and problem-solving in mathematics.
Our AI Companion is a student-focused AI tool that offers more than just answers. Built on millions of Knowunity resources, it provides relevant information, personalised study plans, quizzes, and content directly in the chat, adapting to your individual learning journey.
You can download the app from Google Play Store and Apple App Store.
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
9
Smart Tools NEW
Transform this note into: ✓ 50+ Practice Questions ✓ Interactive Flashcards ✓ Full Mock Exam ✓ Essay Outlines
Explore the essential concepts of angles, including types of angles, properties of polygons, and angle relationships in geometry. This summary covers key formulas for calculating interior and exterior angles, as well as detailed characteristics of various quadrilaterals and triangles. Ideal for Year 7 students studying Module 8 on Angles.
MathsExplore the properties of interior and exterior angles in polygons. Learn how to calculate the sum of interior angles using the formula (n-2) x 180° and understand the relationship between interior and exterior angles. This summary covers triangles, quadrilaterals, pentagons, and hexagons, providing essential insights for geometry students.
MathsExplore key concepts in trigonometry and quadratic functions, including the area of triangles, sine and cosine rules, bearings, and the properties of quadratic graphs. This summary covers essential formulas and problem-solving techniques for evaluating functions and understanding the nature of quadratic equations.
MathsExplore the Sine and Cosine Rules for solving triangles in this comprehensive guide. Learn how to calculate unknown angles and side lengths using the Law of Sines and Law of Cosines, complete with worked examples and practice questions. Ideal for Edexcel and other exam boards.
MathsExplore the fundamental relationships between angles and side lengths in right triangles, including Pythagorean theorem and trigonometric ratios. This summary covers key concepts such as adjacent, opposite, and hypotenuse sides, essential for mastering trigonometry. Ideal for students preparing for exams or needing a quick reference.
MathsMaster key concepts in GCSE Higher Maths with this comprehensive summary covering geometry, algebra, probability, and circle theorems. Perfect for exam preparation, this resource includes essential formulas, angle facts, area calculations, and statistical measures to boost your understanding and performance. Ideal for students aiming for top grades.
MathsApp Store
Google Play
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
Best app on earth! no words because it’s too good
Thomas R
iOS user
Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.
Basil
Android user
This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.
Xander S
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now
Paul T
iOS user
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
Best app on earth! no words because it’s too good
Thomas R
iOS user
Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.
Basil
Android user
This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.
Xander S
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now
Paul T
iOS user
