Question

If a convex polygon has 170 diagonals.Find the number of sides of the polygon.​

Answer 1

Answer =20

Step-by-step explanation:

Number of diagonals=n(n-3)/2

where,

n=Number of sides. 1

number of diagonals =170. 2. Given

by putting equation 2's value in formula

170=n(n-3)/2

170*2=n(n-3)

340=n^2-3n

n^2-3n-340=0

by Hindu's formula

n=20