Austin's angle

Geometry Level 3

Isosceles triangle ABCABC has AB=BCAB=BC and a vertex angle of 32 32^\circ . Γ\Gamma is a circle that circumscribes ABCABC, and OO is the center of Γ\Gamma. What is the measure (in degrees) of BOC \angle BOC?

This problem is posed by Austin C.

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