Question

the ratio between an exterior angle and an interior angle ofa regular polygon is 2:3 find the number of sides in the polygon

Answer 1

Let two angles be 2x(exterior) and 3x(interior).

2x+3x=180       (LPA's)

5x=180

x=36

exterior angle=2x=72

Let n be the the side of regular polygon

product of exterior angle of regular polygon and its side is 360

72×n=360

n=360/72

n=5

therefore side of regular polygon be 5