Given a cyclic quadrilateral ABCD. Let X be a point on segment BC (X=BC) such that line AX is perpendicular to the angle bisector of ∠CBD, and Y be a point on segment AD (Y=D) such that BY is perpendicular to the angle bisector of ∠CAD. Prove that XY is parallel to CD. geometryCyclic Quadrilateralsparallel