Similarty Condition of two polygon

In a convex polygon of 6 sides two diagonals are selected at random. The probability that they interesect at an interior point of the polygon is

In a convex polygon of 6 sides two diagonals are selected at random. The probability that they interesect at an interior point of the polygon is

A polygon has prime number of sides. Its number of sides is equal to the sum of the two least consecutive primes. The number of diagonals of the polygon is

The corresponding angles of any two polygonal figures are equal.

Construction of two frequency polygon in same axes

The corresponding sides of any two polygonal figures are proportional.

The number of sides of two regular polygons are in the ratio 5:4 and the difference between their interior and is 9^@ . find the number of sides in the two polygons.

The ratio of the number of sides of two polygons is 1:2, and the ratio of the sum of their angles is 3:8. Find the number of sides in each polygon.