A clock is constructed using a regular polygon with 60 sides. The polygon rotates every minute. How many degrees has the polygon rotated after 7 minutes?

I think you mean that the polygon goes to the next side every minute,

and makes a complete rotation every hour.

So each minute, it advances by 1/60 of a complete rotation.

A complete rotation is, of course, 360°.

So each minute, it advances (360°/60) = 6°.

In 7 minutes, then, it advances

(6° / minute) x (7 minutes) = 42°.

360/60 = 6

6 minutes = 1 degree

6 X 7 = 42

42 degrees