Geometry

Question Analysis

This question involves the relationship between adjacent angles on a straight line.

 

Key Concept Explanation

Adjacent angles formed on a straight line are supplementary, which means their sum equals .

 

Step - by - Step Solution

1. Observe that the angles and are adjacent angles on a straight line.

Based on the supplementary angle property, we can establish the equation .

2. Simplify the left - hand side of the equation:

Combine like terms: . So the equation becomes

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