A polygon has 44 diagonals. The number of its sides is

Step-by-step solution

No. of diagonals in a polygen = ^n C₂-n aligned & 44= ^ n C ₂- n & 44= n ! 2!( n -2)! - n & 44= n ( n -1) 2 - n & 44= n ( n -3) 2 & n ^2-3 n -88=0 & ( n -11)( n +8)=0 & n -8 & n =11 aligned