Question

two regular polygon are such that the ratio of measurement of their interior angle is for ratio 3 and the ratio between two is 2 ratio 1 find the number of sides of each regular polygon

Answer 1

The interior angle of the polygon is given by,

( (x-2) /x ) * 180

Let us take the sides as a and 2a.

substituting in the above formula, we get

((a-2)/a ) *180 / ((2a-2)/2a ) *180  = 3/4

(a-2)/a   *  2/(a-1) = 3/4

(a-2) / (a-1) = 3/4

4a-8 = 3a-3

⇒ a=5

Therefore the sides are 5 and 10.