Question 94
Let $X$, $Y$ be points on $AB$, $AC$ of triangle $ABC$, respectively, such that $B$, $C$, $X$, $Y$ lie on one circle.
The median of triangle $ABC$ from $A$ intersects the perpendicular bisector of $XY$ at $P$. Find $\angle BAC$, if $PXY$ is equilateral.
The median of triangle $ABC$ from $A$ intersects the perpendicular bisector of $XY$ at $P$. Find $\angle BAC$, if $PXY$ is equilateral.