Question

The ratio between the interior angle and the exterior angle of a regular polygon is 2:1
Find :
(i) each exterior angle of this polygon.
(ii) number of sides in the polygon.
​

Answer 1

Answer:

let the interior angle and exterior angle be 2x and X respectively

we know that sum of exterior angle and interior angle of the polygon =180

=2x+X=180

=3x=180

=X=180/3

=60

so, each exterior angle of the polygon =60°

let the number of sides in the polygon be X

each exterior angle =360/X

=60=360/X

=60x=360

=X=360/60

=6

therefore, the number of sides in the polygon =6