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The ratio between the number of sides of two regular polygons is 1:2 and the ratio between their interior angles is 2:3. The number of sides of these

polygons are respectively.


We've got n_{1}:n_{2}=1:2 and \frac{n_{1}-2}{n_{1}}:\frac{n_{2}-2}{n_{2}}=2:3 .
You get two equations, 2n_{1}-n{2}=0; 3n_{1}-n_{2}-4=0
On solving them you get, n_{1}=4 and n_{2}=8
Hence, the figures are Square and Octagon.
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