# 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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