What is the Formula for sides and degrees of a polygon?

Answer 1

The sum of the measures of the interior angles of a polygon is

(n-2)180


where n is the number of sides in the polygon.


Then, if you have a regular polygon (all sides are the same length, and angles equal), you can divide by the number of sides to get the angle of each side.


For instance, a pentagon has five sides.
n = 5
(5-2)180
(3)180 = 540˚


There is a total of 540˚ in a pentagon.
If it's a REGULAR pentagon, each angle is 108˚.