If the ratio of the number of diagonals to number of interior angles in a polygon is 7, then the number of sides of the polygon is:
17
The number of diagonals in a polygon = n(n−3)2.
Number of interior angles = n.
Thus, the ratio of number of diagonals to number of interior angles in a polygon = n(n−3)2n=7.
n -3 =14
n =17
The number of sides of the polygon is 17.