Toughest Geometry, i Bet.

Let $\omega_1$ and $\omega_2$ be two circles that intersect at points $A$ and $B$ . Let line $l$ be tangent to $\omega_1$ at $P$ and to $\omega_2$ at $Q$ so that $A$ is closer to $PQ$ than $B$ . Let points $R$ and $S$ lie along rays $PA$ and $QA$ , respectively, so that $PQ = AR = AS$ and $R$ and $S$ are on opposite sides of $A$ as $P$ and $Q$ .

Let $O$ be the circumcenter of triangle $ASR$ , and let $C$ and $D$ be the mid-points of major arcs $AP$ and $AQ$ , respectively. If $\angle APQ$ is $45^\circ$ and $\angle AQP$ is $30^\circ$ , determine $\angle COD$ in degrees.