Angle bisectors on cyclic quadrilateral
Source: Kosovo TST 2020 Problem 3
February 8, 2020
geometryangle bisectorcyclic quadrilateralharmonic range
Problem Statement
Let be a cyclic quadrilateral with center such that bisects Suppose that the angle bisector of intersects the angle bisector of at a single point different than and Prove that the line passing through the circumcenters of triangles and bisects the segment Proposed by Viktor Ahmeti and Leart Ajvazaj, Kosovo