Question

exterior angle of regular polygon is two third of its interior angle find the number of sides in the regular polygon​

Answer 1

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Answer 2

Answer:

exterior angle + interior angle is 180 degree linear pair.

let interior angle be x

then exterior angle is 2x/3

then x +2x/3=180

5x=540

x= 108

Exterior angle is 108*2/3

= 72degree

let the no. of sides be y

then each exterior angle is 360/y is 72

then y is 5

hence the no. of sides is 5