Question
The ratio between the number of sides of two regular
polygon is 1 : 2 and the ratio between their interior angles is 2 : 3. The number of sides of these polygons are respectively:Solution
Let number of side of first polygon = x & that of 2nd polygon = 2x ; then ratio of their interior angles = I(1): I(2) = 2:3 or (180 - E1):(180-E2) = 2:3 or 540 - 3E1 = 360 -2E2 oe 3E1 - 2E2 = 540-360 = 180 or 3(360/x) - 2(360/2x) = 180 or 1080/x -360/x = 180 or 720/x = 180 or x = 720/180 = 4
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