Geometry

Question Analysis

This question involves the application of the angle - addition postulate. The main focus is on determining the value of by utilizing the relationship among the given angles.

Key Concept Explanation:

The angle - addition postulate states that if a point (in this case ) lies in the interior of an angle (), then the measure of the larger angle () is equal to the sum of the measures of the two smaller adjacent angles ( and ), i.e., .

Step-by-Step Solution

1. Substitute the given angle measures into the angle - addition formula:

Given , , and , we have the equation

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