# Austin's angle

Geometry Level 3

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

This problem is posed by Austin C.

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