Practice Exterior Angle Theorem (3.2) - Properties of Triangles - IB 10 Mathematics – Group 5, Geometry & Trigonometry
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Exterior Angle Theorem

Practice - Exterior Angle Theorem

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the exterior angle at vertex A if the interior angles ∠B = 45° and ∠C = 55°?

💡 Hint: Use the sum of the two opposite interior angles.

Question 2 Easy

If one interior angle of a triangle is 30°, what can be one possible measure of the exterior angle?

💡 Hint: Use the relationship between interior angles and the straight angle.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the Exterior Angle Theorem state?

💡 Hint: Recall the relationship between exterior and interior angles.

Question 2

If ∠A = 30° and ∠B = 70°, what is the exterior angle at C?

100°
90°
130°

💡 Hint: Add the measures of ∠A and ∠B together.

3 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

In triangle PQR, if ∠P = 45° and ∠Q = 85°, what is the measure of the exterior angle at vertex R?

💡 Hint: Add the measures of ∠P and ∠Q.

Challenge 2 Hard

Using the Exterior Angle Theorem, demonstrate how to prove triangle similarity when one triangle has two angles equal to another's angles.

💡 Hint: Think about using the corresponding angles.

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