RO-NMO 2010 Problem 74

Grade 7

In the isosceles triangle $ABC$ , with $AB=AC$ , the angle bisector of $\angle B$ meets the side $AC$ at $B'$ . Suppose that $BB'+B'A=BC$ . Find the angles of the triangle $ABC$ .

Dan Nedeianu

Dataset text AI-MO AoPS. Quoted with source.

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