Let's start with a test!
The Test
Here is a -question, multi-choice test for the "Circle Theorem: Opposite Angles in a Cyclic Quadrilateral Add Up to 180°" lesson. The pass mark is 90%. Don't worry! All the information you need to pass is in the lesson section under the test.show as slides
send as homework
print as handout

This lesson is part of the geometry curriculum. According to the cookies on your browser, you haven't passed this test yet.
This test is printable and sendable

The Lesson
How to Use the Circle Theorem where Opposite Angles in a Cyclic Quadrilateral Add Up to 180°
Question
What is the angle θ in the circle below?
Step-by-Step:
1
The opposite angles add up to 180°.
70° + θ = 180°
2
Subtract the known angle from 180°.
θ = 180° − 70° = 110°
Answer:
The angle θ is 110°.You might also like...
geometryangles in the same segment are equaltangents from the same point are the same lengthalternate segment theorem
Help Us Improve Mathematics Monster
- Do you disagree with something on this page?
- Did you spot a typo?
Find Us Quicker!
- When using a search engine (e.g., Google, Bing), you will find Mathematics Monster quicker if you add #mm to your search term.
Share This Page
If you like Mathematics Monster (or this page in particular), please link to it or share it with others.
If you do, please tell us. It helps us a lot!
Create a QR Code
Use our handy widget to create a QR code for this page...or any page.

