Geometry · Isosceles triangles · Exterior angle · Angle chasing · Golden gnomon
A triangle \(ABC\) has a point \(D\) on side \(AB\) and a point \(E\) on side \(AC\) such that
\[ |AE| = |ED| = |DB| \qquad\text{and}\qquad |AD| = |DC| = |CB| . \]
Determine the angles of triangle \(ABC\).
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Slovenian High School Mathematics Competition for Vega Awards (MaSSA), drzavno (national) round 2013, 1. letnik, category A, problem 3. Organized by DMFA Slovenije (Society of Mathematicians, Physicists and Astronomers of Slovenia). Source