Sure, let's work through this step-by-step:
1. Identify the number of sides of the polygon: A pentagon is a polygon with 5 sides.
2. Understand the formula for the sum of the interior angles: The formula to find the sum of the interior angles of a polygon is [tex]\((n - 2) \times 180^\circ\)[/tex], where [tex]\(n\)[/tex] is the number of sides of the polygon.
3. Substitute the number of sides into the formula: For a pentagon, [tex]\(n\)[/tex] is 5.
4. Perform the calculation:
[tex]\[
(5 - 2) \times 180^\circ = 3 \times 180^\circ = 540^\circ
\][/tex]
Therefore, the sum of the interior angles of a pentagon is [tex]\(540^\circ\)[/tex].
