June '00 Tough Nut Solution to the Cyclic Quad Jigsaw Congratulations to Peter Conlon, age 15, from Worth School in Sussex. This is Peter's solution.   Given five juxtaposing cyclic quadrilaterals (C.Q.), prove that the resulting quadrilateral, EFGH in this case, is also a C.Q. Taken for granted: In a C.Q., opposite angles add up to 180