1954 AHSME Problem 31

In \triangle ABC, AB=AC, \angle A=40^\circ. Point O is within the triangle with \angle OBC \cong \angle OCA. The number of degrees in \angle BOC is:

\textbf{(A)}\ 110^{\circ} \qquad \textbf{(B)}\ 35^{\circ} \qquad \textbf{(C)}\ 140^{\circ} \qquad \textbf{(D)}\ 55^{\circ} \qquad \textbf{(E)}\ 70^{\circ}

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