Practice The Exterior Angle Theorem - 1.4 | 3. Theorems in Geometry & Trigonometry | (IB) Class 10 Mathematics – Group 5, Geometry & Trigonometry
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Practice Questions

Test your understanding with targeted questions related to the topic.

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.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

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.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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.

Challenge and get performance evaluation