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The locus of P with supplementary angles condition

Source: Baltic Way 2001

November 17, 2010
geometryrhombusparallelogramcircumcircleconicshyperbolacyclic quadrilateral

Problem Statement

Given a rhombus ABCDABCD, find the locus of the points PP lying inside the rhombus and satisfying ∠APD+∠BPC=180∘\angle APD+\angle BPC=180^{\circ}.
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