Geometry

Question Analysis

This question involves applying the angle - addition postulate and the property of a straight angle. The main focus is to find the value of by leveraging the relationship between the given angles.

Key Concept Explanation:

The angle - addition postulate states that if a point lies within , then . A straight angle, in this case, has a measure of .

Step - by - Step Solution:

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

Substitute the given expressions for the angle measures into the equation . Since , , and

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