CAT 2025 Geometry & Mensuration — Previous Year Question

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