# Circumcenter On Circumcircle

Geometry Level 4

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

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