Question

Find the number of sides of a regular polygon if one interior angle is 60 degrees.

Answer 1

use this formula

k = 180(n-2)/n

plug in k = 60 to get

60 = 180(n-2)/n

60n = 180(n-2)

60n = 180n - 360

Answer 2

That gives you ((n - 2)180) / n,
but this equals 60 in your problem, so you get
((n - 2)180)/n = 60

Answer 3

Exterior Angles ALWAYS add to 360º.
Interior Angles and Exterior Angles are Supplementary.
If the Interior Angle is 60º, then the Exterior Angle is 180º - 60º = 120º.
If the Exterior Angle is 120º, then 360º/120º = 3
The total number of sides.

Answer 4

n = 3