Q. 104.0( 5 Votes )

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

Answer :

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°.

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