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Trapezoid and tangent circles

Source: 69 Polish MO 2018 Second Round - Problem 4

April 28, 2018
geometryPlane Geometrytrapezoidtangent circlesPoland

Problem Statement

Let ABCDABCD be a trapezoid with bases ABAB and CDCD. Circle of diameter BCBC is tangent to line ADAD. Prove, that circle of diameter ADAD is tangent to line BCBC.
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