Question

Select the choice which shows all of the diagonals in this polygon and tells how many there are.

A. 7 diagonals
B. 23 diagonals
C. 14 diagonals
D. 10 diagonals
E. 28 diagonals

Answer 1

The answer would be c

Answer 2

Answer C

Explanation:

If the polygon has n sides, then the number of diagonals the polygon has is

(n - 3)*n/2

So for a seven sided figure the number of diagonals would be

(7 - 3)(7)/2 = 4*7/2 = 28/2 = 14