MathNet 2009-part-01 — 175 problems (EN–VI) Question 3

Let $ABC$ be a triangle and $P$ a point on the bisector of angle $\hat{A}$ lying in the interior of triangle $ABC$. It is known that $PC = BC$ and $\hat{A}BP = 30^\circ$. Find the measure of angle $\hat{APC}$.