Question

A regular polygon first maps directly onto itself after rotating 10 degrees. How many sides does the polygon have?

Answer 1

I think it is 8.

Explanation:

But I might be wrong.

Answer 2

36 sides

Explanation:

360 degrees divided by the number of sides equals the rotation degrees. So in order to have your polygon map itself after rotating 10 degrees, it would have to have 36 sides. 360/36 = 10.