Geometry

Question Analysis

The main focus of this question is to determine the sum of the interior angle measures of a given polygon. It tests the understanding of the formula for the sum of interior angles of polygons, which applies regardless of whether the polygon is regular or irregular.

 

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 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 quadrilateral, so .

2. Apply the formula:

Substitute  into the formula .

First, calculate : .

Then, find :

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