Question 9
In the figure below, $AQBC$ is a convex quadrilateral with $QA=QB$ and $\angle C=60^\circ$. Triangle $QAB$ is folded along $AB$ to form triangle $PAB$. It is also known that $\angle PBC=30^\circ$ and $\angle PAC=20^\circ$. What is the measure, in degrees, of $\angle AQB$?
