the number of sides of two regular polygons are in the ratio of 3:2 and their interior angles are in the ratio of 5:3. Find the number of sides
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Step-by-step explanation:
The two polygons, A and B have 12 and 8 sides. Thus the ratios of the number of sides is 3:2.
Now coming to the interior angles. Sum of Interior angles of A = (2*12–4)*90 or (24–4)*90 = 1800 degrees,
Sum of Interior angles of B = (2*8–4)*90 or (12–4)*90 = 720 degrees
Thus the ratio of the sum of the interior angles is 1800:720 or 5 :3.
A has 12 sides and B has 8 sides.
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