Geometry · Convex quadrilateral · Covering · Thales circle · Angles around a point
Over each side of a convex quadrilateral, as a diameter, a circle is constructed. Prove that these four circles cover the quadrilateral.
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Serbian Regional Competition (Okruzno takmicenje) 2002, high school grade I, category A, problem 4. Organized by the Mathematical Society of Serbia (DMS). Source