The formula for the sum of the interior angles of a regular polygon in degrees is [tex]180(n -2)[/tex], where [tex]n[/tex] is the number of sides on the polygon.
In the case of a regular pentagon with five sides, we can say that [tex]n = 5[/tex]. Using the formula below, we can find the sum of the interior angles of the pentagon:
[tex]180(5 - 2) = 180(3) = 540[/tex]
The sum of the interior angles is 540°.
