Practice The Exterior Angle Theorem (1.4) - Theorems in Geometry & Trigonometry
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The Exterior Angle Theorem

Practice - The Exterior Angle Theorem

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the exterior angle if ∠CAB = 50° and ∠ABC = 30°?

💡 Hint: Add the two interior angles together.

Question 2 Easy

If ∠CAB = 10° and ∠ACD = 70°, what is ∠ABC?

💡 Hint: Use the exterior angle theorem to find the missing angle.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the Exterior Angle Theorem state?

An exterior angle is the sum of the interior angles.
An exterior angle is greater than the interior angles.
An exterior angle is equal to the sum of the two opposite interior angles.

💡 Hint: Think about how the exterior angle is formed and its relationship to the interior angles.

Question 2

True or False: The sum of the interior angles of a triangle is always equal to the exterior angle.

True
False

💡 Hint: Consider the definitions of interior and exterior angles.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

In a triangle, the exterior angle is 130°, and one of the interior angles is 40°. What is the measure of the other interior angle?

💡 Hint: Use the Exterior Angle Theorem.

Challenge 2 Hard

Prove that in any triangle, the exterior angle is larger than either of the opposite interior angles.

💡 Hint: Consider the definitions and relationships of angles in a triangle.

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