Question 30
In triangle $ABC$, $\angle ACB=65^\circ$ and $\angle ABC=70^\circ$. On the extensions of $BC$, choose $P$ so that $BP=AB$ and $B$ is between $P$ and $C$, and choose $Q$ so that $CQ=AC$ and $C$ is between $B$ and $Q$. If $O$ is the center of the circle through $A,P,Q$, find $\angle OAQ$ and $\angle OAP$.