Quadrilateral $KLMN$ is similar to quadrilateral $PQRS$, where $K,L,M,$ and $N$ correspond to $P,Q,R,$ and $S$, respectively. The measure of angle $L$ is $85^{\circ }$, the measure of angle $M$ is $95^{\circ }$, and the measure of angle $N$ is $80^{\circ }$. The area of quadrilateral $PQRS$ is $1/4$ the area of quadrilateral $KLMN$. What is the measure of angle $Q$?