Question

Question find the number of sides of that regular polygon whose each exterior angle is 24 degree

Answer 1

Each exterior angle = 24°

Then Each interior angle = 180- 24 = 156°

If the number of sides is n, the sum of interior angles = (n-2)180

also there will be n interior angles 156° each.

So sum of interior angles = n*156

(n-2)*180 = n*156

n*(180-156) = 2*180

n*24 = 360

n = 360/24 = 15

The number of sides is 15