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Intersecting Chords (Finding Angle Measure)

Master intersecting chords (finding angle measure) with interactive lessons and practice problems! Designed for students like you!

Understanding Intersecting Chords (Finding Angle Measure)

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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

When two chords intersect, the angle formed is $\frac{1}{2}$ the sum of the intercepted arcs.

Practice Problems

Test your understanding with practice problems

1

Quick Quiz

Single Choice Quiz
Beginner

In a circle, chords QR and PS intersect at a point inside the circle, forming angle $\angle 1$. What is the measure of angle $\angle 1$ if $m \, \overarc{QR} = 60^\circ$ and $m \, \overarc{PS} = 80^\circ$?

Please select an answer for all 1 questions before checking your answers. 1 question remaining.
2

Real-World Problem

Question Exercise
Intermediate

Teenager Scenario

Imagine a circle in a park where two paths intersect, forming angles with arcs of $50^\circ$ and $90^\circ$. What is the angle?
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3

Thinking Challenge

Thinking Exercise
Intermediate

Think About This

In a circle, two chords intersect at a point inside, forming an angle. Determine the measure of the angle formed by intersecting chords with intercepted arcs of $120^\circ$ and $60^\circ$.

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4

Challenge Quiz

Single Choice Quiz
Advanced

In a circle, chords QR and PS intersect at a point inside the circle, forming an angle. Find the measure of this angle if $m \, \overarc{QR} = 120^\circ$ and $m \, \overarc{PS} = 100^\circ$.

Please select an answer for all 1 questions before checking your answers. 1 question remaining.

Recap

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