Geometry

Question Analysis

The main focus of this question is to find the sum of the interior angle measures of the given polygon. It requires applying the formula for the sum of interior angles of polygons, which is fundamental for understanding polygon characteristics.

 

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 based on the fact that a polygon can be divided into  triangles, and since each triangle's interior angles sum to , the sum for the polygon is .

 

Step - by - Step Solution

1. Identify the number of sides:

Given that .

2. Apply the formula:

Substitute  into the formula .

First, calculate : .

Then, find :

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