Answer:
n = 20
Step-by-step explanation:
The number of diagonal that can be drawn in a polygon of n sides is given by :
[tex]D=\dfrac{n(n-3)}{2}[/tex]
If the number of diagonals are 230, then put D = 230 in above formula. So,
[tex]230=\dfrac{n(n-3)}{2}\\\\460=n^2-3n\\\\n^2-3n-460=0[/tex]
It is a quadratic equation, the value of n is equal to 20.
It means that for 230 diagonal, there are 20 sides of the polygon.
