Question

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 their sides​

Answer 1

Answer:

12, 8

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.