Question 256574: how do you find the measurements of the angles in a 20-gon? My daughter's math book is very unspecific Found 2 solutions by checkley77, scott8148:Answer by checkley77(12844) (Show Source):
You can put this solution on YOUR website! THE MEASUREMENTS OF THE INTERNAL ANGLES OF A 20-GON IS:
(N-2)180=(20-2)180=18*180=3,240 DEGREES.
for ANY regular polygon:
___ the sum of the EXTERIOR angles is 360º
___ interior and exterior angles are supplementary (add to 180º)
in this case,
___ there are 20 exterior angles, so each one is 18º (360 / 20)
___ the interior angles are supplements of 18º, so each one is 162º (180 - 18)