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2013 preRMO p9, orthocenter, incentre, circumcentre, 1 vetrex concyclic

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August 8, 2019
geometryincentercircumcircleangle

Problem Statement

In a triangle ABCABC, let H,IH, I and OO be the orthocentre, incentre and circumcentre, respectively. If the points B,H,I,CB, H, I, C lie on a circle, what is the magnitude of ∠BOC\angle BOC in degrees?
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