Geometry

Question Analysis

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

 

Key Concept Explanation

Complementary angles are defined as two angles whose sum is 90 degrees. When presented with two angles expressed in terms of , we can use this property to set up an equation.

 

Step - by - Step Solution

1. Set up the equation:

Since the two angles are complementary, we write the equation .

Combine like terms: .

Which simplifies to .

 

2. Solve for :

Add 30 to both sides of the equation:

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