MathDB
Midpoints and angles

Source: Japan Olympiad Finals 2014, #1

May 17, 2014
geometrycircumcircleangle bisectorgeometry proposed

Problem Statement

Let OO be the circumcenter of triangle ABCABC, and let ll be the line passing through the midpoint of segment BCBC which is also perpendicular to the bisector of angle ∠BAC \angle BAC . Suppose that the midpoint of segment AOAO lies on ll. Find ∠BAC \angle BAC .
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