Question

Is it possible to have a regular polygon each of whose interior angles is 100°?

Answer 1

No, since \(\frac{360}{80}\) 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°.