How do you find the angle of rotation of a regular polygon

N = number of sides

R = angle of rotation

It turns out that

R = 360/n

since there are 360 degrees in a full rotation, which is then split up equally into n

different pieces

For example, a regular quadrilateral (aka "square") has n = 4 so

R = 360/n = 360/4 = 90

meaning we an rotate a square 90 degrees to have it line up with itself. Every 90 degree rotation, this will happen.

Note: This trick only works with regular polygons