Geometry

Question Analysis

This question involves the concepts of complementary angles and algebraic equations.

 

Key Concept Explanation

Complementary angles are two angles whose measures add up to 90 degrees. When given two angles in terms of , we can create an equation based on this property.

 

Step - by - Step Solution

1. Set up the equation:

Since the two angles are complementary, we have .

First, combine like terms: .

This simplifies to .

 

2. Solve for :

Add 6 to both sides of the equation:

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