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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