the ratio between exterior angle and interior angle of a regular polygon is 1 : 5 find the number of sides of the polygon
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interior angle=1x
exterior angle=5x
sum of interior and exterior angle is 180
so 1x+5x=180
6x=180
x=30
interior angle =30
exterior angle=150
30=(2n-4)×90)÷n
30n=180n-360
-150n=-360
n=150÷360
n=2( approx.)
here n is equal to no. of sides
exterior angle=5x
sum of interior and exterior angle is 180
so 1x+5x=180
6x=180
x=30
interior angle =30
exterior angle=150
30=(2n-4)×90)÷n
30n=180n-360
-150n=-360
n=150÷360
n=2( approx.)
here n is equal to no. of sides
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