Geometry

Question Analysis

This question involves the angle - addition postulate. The main focus is using this postulate to find the value of and then determine the measures of and .

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 based on the angle - addition postulate:

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

2. Simplify the right - hand side of the equation:

First, simplify to get . So the equation becomes .

3. Solve for :

Subtract from both sides: , which gives .

Then subtract 1 from both sides:

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