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PL-OM 1998 Problem 3

    In the isosceles triangle ABCABC the angle BACBAC is a right angle. Point DD lies on the side BCBC and satisfies BD=2⋅CDBD = 2 \cdot CD . Point EE is the foot of the perpendicular of the point BB on the line ADAD . Find the angle CEDCED .

    Dataset text AI-MO AoPS. Quoted with source.

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