# Problem 3 : The Mysterious Triangle

Geometry Level 4

Let $$ABC$$ be a triangle. Let $$D$$ be on ray $$BC$$ such that $$BC = CD$$. Let $$E$$ be on ray $$CA$$ such that $$AE = 2CA$$.Let $$AD = BE$$. Determine the largest angle of $$\triangle ABC$$.

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