Question

If a polygon has 27 diagonals. Then how many sides does it have?​

Answer 1

Answer:

Step-by-step explanation:

Let n be the number of vertices of the polygon.

then there are n  sides.

N = number of  all connections between all the vertices =

n C 2,

N = n(n-1)/2

Number of diagonals =  N - n = n (n - 3)/2    =  27  given

          n²  - 3 n  - 54 = 0

       (n - 9) (n + 6) = 0

          n = 9

so there are  9 sides and 9 vertices.

Hope it helps you.

Answer 2

Answer: 29

Step-by-step explanation