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RU-SPB 2015 Problem 105

    ABCDEABCDE is convex pentagon. ∠BCA=∠BEA=∠BDA2,∠BDC=∠EDA\angle BCA=\angle BEA = \frac{\angle BDA}{2}, \angle BDC =\angle EDA . Prove, that ∠DEB=∠DAC\angle DEB=\angle DAC

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