2024 Mock AMC 10 - Problem 16

In \triangle ABC, \angle ABC = 65^\circ and \angle ACB = 35^\circ. Let O be its circumcenter and let D be the base of the altitude from A. If E is the intersection point of AD and OB, find the measure of \angle OED in degrees.

\textbf{(A) }65^\circ\qquad\textbf{(B) }80^\circ\qquad\textbf{(C) }95^\circ\qquad\textbf{(D) }100^\circ\qquad\textbf{(E) }120^\circ