CAT 2025 Slot 2 — QA Question 10

Two tangents drawn from a point $P$ touch a circle with center $O$ at points $Q$ and $R$. Points $A$ and $B$ lie on $P Q$ and $P R$, respectively, such that $A B$ is also a tangent to the same circle. If $\angle A O B = 50 ^ { \circ }$, then $\angle A P B$, in degrees, equals