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