Q7 E of 59 Page 195

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

35°


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 = 35°.


Sum of all exterior angles for regular polygon = 360°


Number of sides for given polygon = 360 / 35


= 10.2857


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


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