Opposite angles in any quadrilateral inscribed in a circle add to 180º.mariah wrote:Quadrilateral PXQY is inscribed in a circle. Is angle x equal to angle y?
1). Angle P is not equal to Q.
2). PQ is the diameter of the circle.
Oa B
(1) Angle P is not equal to Q does not necessarily imply that angle X is equal to angle Y, it may or may not be equal. We need additional info to find this; NOT sufficient.
(2) PQ is the diameter of the circle again implies that in semicircle PYQ, angle PYQ = 90º and in semicircle PXQ, angle PXQ = 90º; SUFFICIENT.
The correct answer is B.
