College Math Placement Practice Test 2026 - Free College Math Questions and Study Guide

The sum of the interior angles of a polygon can be determined using the formula \( (n - 2) \times 180 \) degrees, where \( n \) is the number of sides in the polygon. For a pentagon, which has five sides, you would substitute \( n = 5 \) into the formula:

\[

(5 - 2) \times 180 = 3 \times 180 = 540 \text{ degrees}

\]

This means that the total measure of all the interior angles in a pentagon is indeed 540 degrees. This calculation aligns with the properties of polygons and is foundational in geometry, making the answer consistent and reliable.