Cyclic Quadrilateral Arcs Theorem
For a further hint go to A Further Hint
NOTE: Due to the way the way the sketch was constructed & how some constructions are defined in the program, the above sketch might suddenly show the two lines parallel when the cyclic quadrilateral is dragged until it becomes "crossed". Have a look at the sketch below that doesn't show this "discontinuity".(Drag A, B, C or D).