Geometry

Question Analysis

The main focus is to use the property of an altitude (being perpendicular to 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 formed between the 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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