Practice The Triangle Sum Theorem (1.3) - Theorems in Geometry & Trigonometry
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The Triangle Sum Theorem

Practice - The Triangle Sum Theorem

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

If angle A of triangle XYZ is 40° and angle B is 80°, what is angle C?

💡 Hint: Remember to sum the given angles and subtract from 180°.

Question 2 Easy

Given triangle PQR, if angle P measures 50° and angle Q measures 70°, find the measure of angle R.

💡 Hint: Use the Triangle Sum Theorem.

1 more question available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

The sum of the angles in a triangle is always:

90°
180°
360°

💡 Hint: Think about a triangle's shape and its angles.

Question 2

True or False: The sum of the interior angles of a triangle is 90°.

True
False

💡 Hint: Recall the Triangle Sum Theorem.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

In triangle JKL, angle J is three times greater than angle K and angle L measures 10°. Find the measure of angles J and K.

💡 Hint: Set up the equation using angle relationships.

Challenge 2 Hard

A quadrilateral is formed by two triangles sharing one angle. Given the angles of one triangle are 40°, 60°, and x°, and the other triangle has two angles of 80° and 90°. Find x.

💡 Hint: Use both Triangle Sum Theorem and properties of quadrilateral angles.

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Reference links

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