2024 Fermat Problem 9

In the diagram, a semi-circle has centre O and diameter AC. Also, B is a point on the circumference such that \angle BAC = 25^\circ. The measure of \angle BOC is

\textbf{(A)}\ 60^\circ\quad \textbf{(B)}\ 55^\circ\quad \textbf{(C)}\ 45^\circ\quad \textbf{(D)}\ 50^\circ\quad \textbf{(E)}\ 65^\circ

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

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