Geometry

Question Analysis

This question combines the geometric concept of complementary angles with algebraic equation-solving.

 

Key Concept Explanation

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

 

Step - by - Step Solution

1. Set up the equation:

Since the two angles are complementary, we write .

Combine like terms: .

This simplifies to .

 

2. Solve for :

Add 5 to both sides of the equation:

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