Geometry

Question Analysis

This question involves the concept of complementary angles.

 

Key Concept Explanation

Complementary angles are two angles whose sum is . In this figure, the two angles together form a right angle (implied by the right - angle symbol). So, if we know the measure of one angle, we can find the measure of the other using the property of complementary angles.

 

Step - by - Step Solution

1. Recall the property of complementary angles:

Let the missing angle be . We know that the sum of the two angles is , and one angle is .

 

2. Set up the equation:

.

 

3. Solve for

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