Geometry

Question Analysis:

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

 

Key Concept Explanation:

The angle - addition postulate states that if two 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 two smaller adjacent angles.

 

Step - by - Step Solution:

1. Observe the figure:

We can see that is composed of two adjacent angles, a angle and a right - angle (marked with a square symbol, which means ).

 

2. Apply the angle - addition postulate:

According to the postulate,

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