Question

Which motion occurs at a rate of approximately one degree per day?

Answer 1

The Earth revolving around the Sun moves at only 1 degree per day

Answer 2

-- If you go outside at the same time every night and look at
some familiar stars, you'll see each of them them move westward
at almost exactly 1 degree per night.

-- The reason for that apparent motion is the real motion of the
Earth in its orbit around the sun, at almost exactly 1 degree in
every 24 hours.

(average during a whole year is  0.9856 degree  per day.)