Circumcenter On Circumcircle

Geometry Level 4

Let ω\omega be the circumcircle of a triangle ABC.\triangle ABC. A line \ell passing through point AA intersects segment BCBC and ω\omega at points P,QP,Q respectively (where QAQ \neq A). Let OO be the circumcenter of BPQ,\triangle BPQ, and let AOAO intersect BCBC at K.K. Given that OO lies on ω,\omega, find AKB\angle AKB in degrees.

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