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

$interior \: angle = 2x \\ exterior \: angle = x \\ x + 2x = 180 \\ x = 60 \\ let \: no \: of \: side = n \\ sum \: of \: exteriar \: angle = 360 \\ 60n = 360 \\ n = 6$

Answer 2

interior angle=2x
exterior angle=x
2x+x=180
3x=180
x=60

let the side be y.
60y=360
y=6

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