Geometry

Question Analysis:

This question involves determining the measure of an angle () using the measures of its adjacent angles ( and ). The main focus is applying the angle - addition postulate.

Key Concept Explanation:

The angle - addition postulate states that when two or more adjacent angles share a common vertex and a common side, the measure of the larger angle formed by them is equal to the sum of the measures of the individual adjacent angles.

Step - by - Step Solution:

1. Identify the adjacent angles:

In the figure, is composed of two adjacent angles, and . We are given that and

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