Measure of a Bisecting Angle

Geometry Level 3

Circle Γ\Gamma with center OO is tangential to PAPA at AA. Line POPO extended intersects Γ\Gamma at BB (i.e. PO<PBPO < PB). CC is a point on ABAB such that PCPC bisects APB \angle APB. What is the measure (in degrees) of PCA \angle PCA?

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