Geometry

Question Analysis

This question involves the concepts of vertical angles and right - angled angles in geometry, along with 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.

Right - angled angles: A right - angle has a measure of . In this case, , and .

Algebraic equations: We use the properties of equality to solve for in the equation formed from the angle relationships.

 

Step - by - Step Solution

1. Given the equation .

First, move the terms to one side. Subtract from both sides of the equation:

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