Question 147
Luigi drew in his notebook an isosceles triangle $ABC$ in which the sides from $A$ are equal and, after drawing the internal bisector of the angle $\widehat{ABC}$, which meets the side $AC$ at $P$, he noticed that the circle through $B, P, C$ also passed through the midpoint of $AB$. He then wondered what the value of the angle $\widehat{BAC}$ was. What is the correct answer?
(A) $30^\circ$
(B) $45^\circ$
(C) $60^\circ$
(D) $90^\circ$
(E) $105^\circ$
(A) $30^\circ$
(B) $45^\circ$
(C) $60^\circ$
(D) $90^\circ$
(E) $105^\circ$