Geometry

Question Analysis:

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

 

Key Concept Explanation:

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

 

Step - by - Step Solution:

1. Identify the relevant adjacent angles:

Here, is composed of two adjacent angles and . We are given that and .

 

2. Apply the angle - addition postulate:

According to the postulate,

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