Geometry

Question Analysis

This question involves geometric concepts of vertical angles and algebraic equation - solving.

 

Key Concept Explanation

Vertical angles: When two lines intersect, vertical angles are non - adjacent and opposite each other, and they have equal measures. Here,  and  are vertical angles.

Algebraic operations: We use the properties of equality to solve the resulting linear equation for .

 

Step - by - Step Solution

1. Since  and , and  and  are vertical angles, we set up the equation

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