2024 Gauss 8 Problem 18

A circular spinner is divided into five equal sections. An arrow is attached to the centre of the spinner and is positioned as shown. The arrow is spun clockwise, and it stops in the section labelled D. Which of the following could have been the angle of rotation?

\textbf{(A)}\ 530^\circ\quad \textbf{(B)}\ 550^\circ\quad \textbf{(C)}\ 630^\circ\quad \textbf{(D)}\ 675^\circ\quad \textbf{(E)}\ 700^\circ

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Gauss contests here.