Geometry

Question Analysis

This question focuses on determining the sum of the interior angle measures of a given polygon. It requires applying the formula for the sum of interior angles of polygons, which is fundamental to understanding the characteristics of regular polygons.

 

Key Concept Explanation

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