Question 469875
If n = the number of sides of the polygon (which also happens to be the number of angles in a polygon), then the sum of the angles of a polygon (in degrees) can be represented with the following formula:

sum of angles of a polygon with n sides = (n - 2) * 180 degrees

For example, in a triangle, which has 3 sides:
sum of angles in a triangle = (3 - 2) * 180 = 180 degrees

In a pentangle, which has 5 sides:
sum of angles in a pentangle = (5 - 2) * 180 = 3 * 180 = 540 degrees