# Circle and Triangle

Geometry Level 5

In the figure above,$$AB,BC$$ and $$CA$$ intersect the circle at the points $$D,E,F,G,H$$ and $$I$$. Let $$O$$ denote the center of the circle such that $$DE=FG=HI$$. If $$\angle BAC =11^\circ$$. Find the measure of $$\angle BOC$$ in degrees.

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