Question

If a 12-sided regular polygon rotates about its center, at which angle of rotation will the image of the polygon coincide with the preimage?

Answer 1

A 12 sided regular polygon divides 360 degrees into 12 equal segments... 360/12 = 30

Thus each equal section is 30 degrees.

Any point where the polygon coincides with the preimage will be a multiple of 30 degrees.