1. The ratio of each interior angle to each exterior angle of a regular polygon is 3 : 1. The number of sides of the polygon is
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By: anil on 05 May 2019 01.52 am
Let the number of sides in the polygon be $$n$$ Each interior angle of a polygon = $$frac{(n-2) imes180}{n}$$ and each exterior angle of a polygon = $$frac{360}{n}$$ Acc to ques : => $$frac{frac{(n-2) imes180}{n}}{frac{360}{n}} = frac{3}{1}$$ => $$frac{n-2}{2} = frac{3}{1}$$ => $$n - 2 = 6$$ => $$n = 8$$
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