Geometry

Question Analysis

The main focus is to use the property of an altitude (forming a right - angle with the opposite side) to find the value of by setting up an equation based on the given angle expression.

 

Key Concept Explanation

An altitude of a triangle is a line segment drawn from a vertex perpendicular to the opposite side. By the definition of perpendicularity, the angle between an altitude and the opposite side is .

 

Step - by - Step Solution

1. Recall the property of an altitude:

Since is an altitude of , .

2. Set up the equation:

We are given that . So, we set up the equation

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