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Inscribed Angles

Master inscribed angles with interactive lessons and practice problems! Designed for students like you!

Understanding Inscribed Angles

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Video explanation of this concept

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Beginner

Start here! Easy to understand

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Beginner Explanation

Inscribed angles are angles made by two chords in a circle that have the same endpoint. They are half the measure of the intercepted arc.

Practice Problems

Test your understanding with practice problems

1

Quick Quiz

Single Choice Quiz
Beginner

In a circle with center O, let A and C be endpoints of an arc and B a point on the circle such that $\angle AOC$ is the central angle and $\angle ABC$ the corresponding inscribed angle. If $m\angle AOC = 80^\circ$, what is $m\angle ABC$?

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2

Real-World Problem

Question Exercise
Intermediate

Teenager Scenario

Imagine a pizza slice forming an inscribed angle in a circular pizza. If the arc of the pizza slice measures $150^\circ$, what is the angle of the slice?
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3

Thinking Challenge

Thinking Exercise
Intermediate

Think About This

Consider a circle where two inscribed angles intercept the same arc. How can you prove these angles are congruent?

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4

Challenge Quiz

Single Choice Quiz
Advanced

In a circle with center O, let D and F be endpoints of arc DF, and E and G points on the circle such that $\angle DEF$ and $\angle DGF$ intercept arc DF. If $\angle DEF = 70^\circ$ and $\angle DGF = 70^\circ$, what is the measure of arc DF?

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Recap

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Review key concepts and takeaways