Given an acute-angled triangle ABC, let H be the orthocenter. A cirlcle passing through the points B, C and a cirlcle with a diameter AH intersect at two distinct points X, Y. Let D be the foot of the perpendicular drawn from A to line BC, and let K be the foot of the perpendicular drawn from D to line XY. Show that ∠BKD=∠CKD. ratioradical axisgeometrypower of a pointgeometry proposed