In two or more complete sentences, explain how you can prove that the number of degrees that the moon rotates around the earth every five days is approximately 61⁰.

In sidereal month, Moon takes about 13 degrees rotation in one day. To get the precise value, you need to know that Moon takes about 27.32 days to complete its one rotation. And in one rotation there are about 360°. Divide 360 by 27.32. You would get 13.18° per day. Therefore, every five days it would be 13.18° * 5 = 65.9°.

However, in synodic month, it takes about 29.53 days. So for one day, its rotation would be 12.19°. For every five days, it would rotate about 12.19° * 5 = 60.95° or 61°. (I think you are talking about the synodic month)