The ratio of the number of sides of two regular polygons is 1:2 and the ratio of their interior angles is 3:4. The number of sides of these polygons are:
A
4, 8
B
5, 10
C
6, 12
D
3, 6
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Correct Answer 5, 10
Explanation
Let sides be n and 2n. Interior angle = $[(n-2)180/n]$. Ratio: $[(n-2)/n] / [(2n-2)/2n] = 3/4$. Solving this gives n=5. Sides are 5 and 10.