2018 AMC 12B Problem 23

Ajay is standing at point A near Pontianak, Indonesia, 0^\circ latitude and 110^\circ \text{ E} longitude. Billy is standing at point B near Big Baldy Mountain, Idaho, USA, 45^\circ \text{ N} latitude and 115^\circ \text{ W} longitude. Assume that Earth is a perfect sphere with center C. What is the degree measure of \angle ACB?

\textbf{(A) }105 \qquad \textbf{(B) }112\frac{1}{2} \qquad \textbf{(C) }120 \qquad \textbf{(D) }135 \qquad \textbf{(E) }150 \qquad

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.