Question

The difference between the exterior angles of two polygons having the sides equal to (n-1) and (n+1) is 9.find the value of n

Answer 1

Answer:

if if have n sides then each angle =360/n

so using formula

so 360/(n-1)-360/(n+1)=9

360((n+1-n+1)/(n^2-1)=9

80=n^2-1

n^2=81

n=9