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 sum to 90 degrees. Given two angles in terms of , we can form an equation based on this property.

 

Step - by - Step Solution

1. Set up the equation:

Since the two angles are complementary, we have .

Combine like terms: .

This simplifies to .

 

2. Solve for :

Add 8 to both sides of the equation:

Click "Show Answer" to reveal the answer and analysis