Question

a polygon has44 diagonals then find its sides​

Answer 1

Answer:

11 sides

Step-by-step explanation:

n(n-3)/2 = 44

n(n-3) = 88 = 11(11-3)

n = 11 sides

Answer 2

No. of angles
= no. of diagonals × 2
= 44 × 2 = 88

No. of diagonals
= ( n - 2 ) × 180
44 = ( n - 2 ) × 180
44 ÷ 180 = ( n - 2 )
11 ÷ 45 = ( n- 2 )
11 = 45 ( n - 2 )
11 = 45n - 90
45n = 11 + 90
45n = 101

n = 101 ÷ 45