Geometry

Question Analysis

This question involves the angle - addition postulate. The main focus is on finding the value of through the relationship between the given angles.

Key Concept Explanation:

The angle - addition postulate states that if point lies in the interior of , then .

Step-by-Step Solution

1. Set up the equation according to the angle - addition postulate:

Substitute the given angle measures into the equation . So, .

First, simplify the right - hand side:

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