Question

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

Answer 1

Answer:

9

Step-by-step explanation:

exterior angle = 360/n

therefore

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

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

720=9(n²-1)

80=n²-1

n²=81

n=9