Question 23
In the acute triangle $ABC$, $P$ is a point on $AB$, $Q$ is a point on $AC$ such that $BP+CQ=PQ$. The bisector of $\angle A$ meets the circumcircle of the triangle $ABC$ at the point $R$ distinct from $A$. Suppose $\angle PRQ=52.5^\circ$. Find the size of $\angle BAC$ in degrees.