Geometry

Question Analysis:

This question involves finding the measure of an angle () using the measures of its related 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 the sum of the measures of the individual adjacent angles.

 

Step - by - Step Solution:

1. Identify the relevant adjacent angles:

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