Homework help has a great explanation of the answer to this question (see reference for the link).
We use a formula to find the sum of the interior angles of any polygon. In this formula, the letter n stands for the number of sides, or angles, that the polygon has.
sum of angles = (n - 2)180°
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It depends on the polygon. The sum of the interior angles of a triangle is 180o. For every additional side, there are 180o more. The sum of the interior angles of a polygon can be found using this equation:
Sa=180(sn-2)
Where Sa=the sum of the interior angles, and
sn=the number of sides that the polygon has.
Sn has to be a whole number greater than 2.
The sum of the exterior angles of any polygon is 360 degrees.
The sum of the exterior angles of any polygon is 360 degrees
The sum of the exterior angles of ANY polygon is 360 degrees.
The formula for the sum of the interior angles of a polygon is: 180 * (n - 2) where n is the number of sides of the polygon. So the sum of the angles of a polygon with 25 sides is 180 * 23 = 4,140.
The formula for finding the sum of all angles of a polygon is: N = number of sides (N-2)180 = The sum of all angles