Geometry

Question Analysis

This question involves the concept of complementary angles.

 

Key Concept Explanation

Complementary angles are two angles whose measures sum to 90 degrees. When we know the measure of one of the complementary angles, we can determine the measure of the other by subtracting the known measure from 90 degrees.

 

Step - by - Step Solution

1. Recall the complementary - angle relationship:

Given that ∠G and ∠H are complementary, we have the equation . Let .

 

2. Solve for :

Rearrange the equation to isolate : .

Substitute into the equation: .

 

Option Analysis

A.36°: If , then

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