Question

if 65 diagonals are drawn to a polygon of N sides then what is the value of n​

Answer 1

Let number of sides be n

∴

2

n(n−3)

=65

∴n(n−3)=130

∴n

2

+3n−130=0

∴n

2

+10n−13n−130=

∴(n−13)(n+10)=0