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angles =? (a-c)(a+c)^2+bc(a+c)=ab^2 and 48^o

Source: 2014 XVII All-Ukrainian Tournament of Young Mathematicians named after M. Y. Yadrenko, Qualifying p1

May 23, 2022
geometryanglesUkrainian TYM

Problem Statement

In the triangle ABCABC, one of the angles of which is equal to 48o48^o, side lengths satisfy (aāˆ’c)(a+c)2+bc(a+c)=ab2(a-c)(a+c)^2+bc(a+c)=ab^2. Express in degrees the measures of the other two angles of this triangle.
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