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Find the angles of triangle ABC

Source: Romanian MO 2010 Grade 7

August 6, 2012
geometryangle bisectorgeometry proposed

Problem Statement

In the isosceles triangle ABCABC, with AB=ACAB=AC, the angle bisector of ∠B\angle B meets the side ACAC at B′B'. Suppose that BB′+B′A=BCBB'+B'A=BC. Find the angles of the triangle ABCABC.
Dan Nedeianu
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