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

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 class=

Respuesta :

Answer:

Answer C

Step-by-step 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

The answer would be c