Geometry

Question Analysis

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

2. Apply the formula:

Substitute  into the formula .

First, calculate : .

Then, find :

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