let’s find whether the following measurement are possible or not for exterior angle of a regular polygon- (write yes/no):
6°

Question

let’s find whether the following measurement are possible or not for exterior angle of a regular polygon- (write yes/no):13°

Philoid · Accepted Answer

A regular polygon would be possible only if on dividing the sum of all exterior angles by the measure of each exterior angle gives a whole number.

Here measure of each exterior angle = 13°.

Sum of all exterior angles for regular polygon = 360°

∴ Number of sides for given polygon = 360 / 13

= 27.69

Since the number of sides of given polygon is not a whole number, this exterior angle is not a valid exterior angle.

let’s find whether the following measurement are possible or not for exterior angle of a regular polygon- (write yes/no):
13°