Geometry

Question Analysis

This question involves the angle - addition postulate. The main focus is on using the relationship between the angles around point to find the value of .

 

Key Concept Explanation:

The angle - addition postulate states that if a point lies in the interior of an angle, the measure of the larger angle is the sum of the measures of the two smaller adjacent angles. Here, .

 

Step-by-Step Solution

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

We have .

2. Solve the equation for :

First, subtract from both sides:

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