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74
1
Fay
11/12/2025
Maths
angle facts
1,215
•
11 Dec 2025
•
Fun Angle Activities: Learn How Angles Add Up - Worksheets & Examples
Fay
@fayy_student1
Angles at a Point
This page focuses on the concept of angles at a point and provides practical examples for calculating missing angles.
Definition: Angles at a point always add up to 360 degrees.
The page presents three different scenarios involving angles at a point, each with a diagram and step-by-step solution.
Example 1: A diagram shows five angles at a point, with four known angles (160°, 105°, 45°, and 95°) and one unknown angle x. The solution demonstrates how to find x by subtracting the sum of the known angles from 360°.
Example: 360° - (160° + 105° + 45° + 95°) = 360° - 405° = -45°
Since a negative angle is not possible in this context, the answer is adjusted to 360° - 45° = 315°.
Example 2: Another diagram shows three angles at a point, with two known angles (95° and 140°) and one unknown angle x. The solution shows a simpler calculation:
Example: x = 360° - (95° + 140°) = 360° - 235° = 125°
Example 3: The final example presents four angles at a point, with three known angles (95°, 45°, and 80°) and one unknown angle x. The solution follows the same principle:
Example: x = 360° - (95° + 45° + 80°) = 360° - 220° = 140°
These examples reinforce the concept of angles at a point calculations and provide students with practice in applying the principle that angles at a point sum to 360°.
Highlight: The page emphasizes the importance of checking that the sum of all angles at a point equals 360° to verify the correctness of calculations.
Right Angles and Angles on a Straight Line
This page introduces two fundamental angle concepts in geometry: right angles and angles on a straight line.
Right Angles
The guide begins by explaining that angles that add up to 90 degrees are called right angles. It provides a visual representation of a right angle and states that the angles within a right angle always sum to 90°.
Definition: A right angle is an angle that measures exactly 90 degrees.
An example is given to illustrate how to calculate a missing angle in a right angle:
Example: If one angle in a right angle is 60°, the other angle can be calculated by subtracting 60° from 90°, resulting in 30°.
Angles on a Straight Line
The page then moves on to explain the concept of angles on a straight line.
Highlight: Angles on a straight line add up to 180 degrees.
This principle is illustrated with a diagram showing a straight line divided into three angles.
Example: In a problem where two angles on a straight line are given (55° and 120°), the third angle can be calculated by subtracting the sum of the known angles from 180°: 180° - (55° + 120°) = 5°.
The guide provides several examples of calculating missing angles on a straight line, reinforcing the concept that the sum must always equal 180°.
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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.
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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.
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Thomas R
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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
Fun Angle Activities: Learn How Angles Add Up - Worksheets & Examples
Fay
@fayy_student1
Angles in geometry are fundamental concepts that students learn in mathematics. This guide covers three key angle relationships: right angles, angles on a straight line, and angles at a point. It provides clear explanations and examples for each type, helping... Show more
Angles at a Point
This page focuses on the concept of angles at a point and provides practical examples for calculating missing angles.
Definition: Angles at a point always add up to 360 degrees.
The page presents three different scenarios involving angles at a point, each with a diagram and step-by-step solution.
Example 1: A diagram shows five angles at a point, with four known angles (160°, 105°, 45°, and 95°) and one unknown angle x. The solution demonstrates how to find x by subtracting the sum of the known angles from 360°.
Example: 360° - (160° + 105° + 45° + 95°) = 360° - 405° = -45°
Since a negative angle is not possible in this context, the answer is adjusted to 360° - 45° = 315°.
Example 2: Another diagram shows three angles at a point, with two known angles (95° and 140°) and one unknown angle x. The solution shows a simpler calculation:
Example: x = 360° - (95° + 140°) = 360° - 235° = 125°
Example 3: The final example presents four angles at a point, with three known angles (95°, 45°, and 80°) and one unknown angle x. The solution follows the same principle:
Example: x = 360° - (95° + 45° + 80°) = 360° - 220° = 140°
These examples reinforce the concept of angles at a point calculations and provide students with practice in applying the principle that angles at a point sum to 360°.
Highlight: The page emphasizes the importance of checking that the sum of all angles at a point equals 360° to verify the correctness of calculations.
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Right Angles and Angles on a Straight Line
This page introduces two fundamental angle concepts in geometry: right angles and angles on a straight line.
Right Angles
The guide begins by explaining that angles that add up to 90 degrees are called right angles. It provides a visual representation of a right angle and states that the angles within a right angle always sum to 90°.
Definition: A right angle is an angle that measures exactly 90 degrees.
An example is given to illustrate how to calculate a missing angle in a right angle:
Example: If one angle in a right angle is 60°, the other angle can be calculated by subtracting 60° from 90°, resulting in 30°.
Angles on a Straight Line
The page then moves on to explain the concept of angles on a straight line.
Highlight: Angles on a straight line add up to 180 degrees.
This principle is illustrated with a diagram showing a straight line divided into three angles.
Example: In a problem where two angles on a straight line are given (55° and 120°), the third angle can be calculated by subtracting the sum of the known angles from 180°: 180° - (55° + 120°) = 5°.
The guide provides several examples of calculating missing angles on a straight line, reinforcing the concept that the sum must always equal 180°.
We thought you’d never ask...
What is the Knowunity AI companion?
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.
Where can I download the Knowunity app?
You can download the app from Google Play Store and Apple App Store.
Is Knowunity really free of charge?
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
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Can't find what you're looking for? Explore other subjects.
Students love us — and so will you.
4.9/5
App Store
4.8/5
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