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angles wanted in isosceles AB, BB'+ B'A = BC

Source: 2011 Saudi Arabia Pre-TST November 3.3

December 31, 2021
geometryanglesisosceles

Problem Statement

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