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Question

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:


A

17

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B

16

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C

15

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D

14

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Solution

The correct option is A

17


The number of diagonals in a polygon = n(n3)2.
Number of interior angles = n.
Thus, the ratio of number of diagonals to number of interior angles in a polygon = n(n3)2n=7.
n -3 =14
n =17
The number of sides of the polygon is 17.


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