Geometry

Question Analysis

The main focus of this question is to determine the sum of the interior angle measures of a regular polygon. It requires applying the formula for the sum of interior angles based on the number of sides of the polygon, testing the understanding of regular polygon properties.

 

Key Concept Explanation

The formula for the sum of the interior angle measures of a polygon is , where  is the number of sides of the polygon. This formula is derived from the fact that a polygon can be divided into  triangles, and since each triangle has an interior angle sum of , the sum for the polygon is .

 

Step - by - Step Solution

1. Identify the number of sides:

The given polygon is an octagon, so .

2. Apply the formula:

Substitute  into the formula .

First, calculate : .

Then, find :

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