Geometry

Question Analysis

This question involves the angle - addition postulate and the concept of a right angle. The main focus is using the relationship between the angles , , and to find the value of .

Key Concept Explanation

The angle - addition postulate states that if point lies in the interior of , then . A right angle has a measure of . So, we can set up an equation based on these concepts to solve for .

Step - by - Step Solution

1. Set up the equation based on the angle - addition postulate and the fact that is a right angle:

Since , and