Is it possible to have a regular polygon each of whose interior angles is 100°?
No, since is not a whole number
Sum of Interior Angle and Exterior Angle = 180°
Interior Angle = 100°
So, Exterior Angle = 180° - 100°
= 80°
No. of Sides = 360° / Exterior Angle
= 360/80
= 4.5
4.5 is not an integer. So, it is not possible to have a regular polygon whose interior angle is 100°.