Geometry

Question Analysis

This question involves the concept of supplementary angles.

 

Key Concept Explanation

Supplementary angles are two angles whose sum is 180°. When two angles form a straight - line (linear pair), they are supplementary.

 

Step-by-Step Solution

1. Let the measure of the missing angle be .

2. We know that one angle is 58°.

3. Since the two angles form a linear pair, we set up the equation .

4. To solve for , we subtract 58° from both sides of the equation: .

 

Option Analysis

A.122°: Correct. As , it meets the criteria for supplementary angles.

B.112°: Incorrect. Because

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