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RU-ORAL-GEOMETRY 2022 Problem 1

    Given an isosceles trapezoid ABCDABCD . The bisector of angle BB intersects the base ADAD at point LL . Prove that the center of the circle circumscribed around triangle BLDBLD lies on the circle circumscribed around the trapezoid.

    (Yu. Blinkov)

    Dataset text AI-MO AoPS. Quoted with source.

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