One Half is Green

Geometry Level 5

\(ABC\) is a triangle, \(BD\) is the bisector of angle \(B\), \(CA\) is extended to \(E\) with \(AE = BD\). Find the measure of \( \angle ABC \) so that the area of \(\Delta EAB \) is half the area of \( \Delta EBC \). Give your answer to 3 decimal places.

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