2017 InIMC keystage3-IWYMIC individual Question 14

Let $ABC$ be a triangle such that $\angle B=16^\circ$ and $\angle C=28^\circ$. Let $P$ be a point on $BC$ such that $\angle BAP=44^\circ$ and let $Q$ be a point on $AB$ such that $\angle QCB=14^\circ$. Find, in degrees, $\angle PQC$.