Geometry

Question Analysis

This question focuses on applying the concept of vertical angles in geometry.

 

Key Concept Explanation

Vertical angles are formed when two lines intersect. They are the non - adjacent angles opposite each other, and a key property is that vertical angles are congruent.

 

Step-by-Step Solution

1. Notice in the figure that the angle  and the angle  are vertical angles.

2. Because vertical angles are congruent, we can establish the equation:

.

3. Solve the equation for :

First, move the  terms to one side and the constants to the other side. Subtract  from both sides:

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