Arithmetichard · Past Paper

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 are:

A4, 8
B5, 10
C6, 12
D3, 6

✓ Correct Answer: B5, 10

Sides n, 2n. Angles [(n-2)*180/n] / [(2n-2)*180/(2n)] = 3/4. Simplifying gives n=5. Sides are 5 and 10.

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