A picture of the sun has 12 identically matched points. suppose you line up two suns directly on top of each other. what is the least number of degrees that you can rotate the top sun so that the two suns are perfectly aligned again?

Answer 1

The answer is 30 degrees.

If you divide the circle into 12 equal parts, each point on the first sun will correspond to a point exactly one-twelfth of the way around the circle on the second sun (since they are identical and lined up).

If you rotate the top sun one-twelfth of a circle (i.e. 30 degrees), each point on the first sun will now correspond to the same point on the second sun. Therefore, they are perfectly aligned again.

Any smaller rotation will not line up all 12 points as they were before.