Geometry

Question Analysis

This question involves the angle - addition postulate. The main focus is on using the relationship between the three given angles 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 . So, .

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

Combine like terms: . The equation becomes .

3. Solve for :

Subtract 16 from both sides of the equation: , so .

Divide both sides by 10:

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