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<BAC=? if bisector of <BAC, B-altitude and perp. bisector of AB concur

Source: 2008 Austria Beginners' Competition p4

October 12, 2022
geometryanglesconcurrencyconcurrent

Problem Statement

Let ABCABC be an acute-angled triangle with the property that the bisector of ∠BAC\angle BAC, the altitude through BB and the perpendicular bisector of ABAB intersect in one point. Determine the angle α=∠BAC\alpha = \angle BAC.
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