SOLUTION: If each exterior angle of a polygon has measure 15, then the polygon has ____ sides? I'm not sure exactly how to solve this problem. Your help would be very much appreciated.

Algebra ->  Polygons -> SOLUTION: If each exterior angle of a polygon has measure 15, then the polygon has ____ sides? I'm not sure exactly how to solve this problem. Your help would be very much appreciated.      Log On


   

Question 133098This question is from textbook
: If each exterior angle of a polygon has measure 15, then the polygon has ____ sides?
I'm not sure exactly how to solve this problem. Your help would be very much appreciated. This question is from textbook

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
I am guessing the polygon is equal in sides.
360 / 15 = 24 sides
Check:
180(24 - 2) = 3960 degrees for the sum of the interior angles
3960 / 24 = 165 degrees for each angle
180 - 165 = 15 degrees for each exterior