The sum of the interior angles of a pentagon is 540 degrees.
To understand why, we can use the formula for calculating the sum of the interior angles of any polygon, which is:
(n – 2) × 180 degrees
Here, n represents the number of sides in the polygon. In the case of a pentagon, it has 5 sides, so we substitute n with 5:
(5 – 2) × 180 = 3 × 180 = 540 degrees
This means that if you take all the angles inside a pentagon and add them together, you will get a total of 540 degrees. This formula works for any polygon, so you can easily find the sum of the interior angles for shapes with more or fewer sides.