In triangle $ABC$, angle $B$ is a right angle. Point $P$ lies on $\overline{AC}$ and point $Q$ lies on $\overline{BC}$ such that $\overline{PQ}$ is parallel to $\overline{AB}$. If the measure of angle $BAC$ is $40^{\circ }$, what is the measure, in degrees, of angle $APQ$?