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Two regular polygons are such that the ratio between their number of sides is 1 : 2 and the ratio of measures of their interior angles is 3 : 4.

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Two regular polygons are such that the ratio between their number of sides is 1 : 2 and the ratio of measures of their interior angles is 3 : 4. Find the number of sides of each polygon.

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Let the number of sides be n and 2n. Then their interior angles are (2n-4/n x 90) and (2(2n)-4/2n x 90).

So that the number of sides are 5 and 10.

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