Question

a polygon has 27 diagonals. How many sides does it have?

Answer 1

i.e., n(n-1)/2(1) -n = 27. So, n^2 -3n -54 = 0. i.e., n = 9 ignoring the other value -6. Therefore, the polygon which has 27 diagonals has 9 sides...

Answer 2

a polygon with 27 diagonals has 9 sides