Line segment XY joins two points in a plane

MATHEMATICS · Subjective · CBSE · Mathematics · Circles · Circles

Problem

Line segment XY joins two points in a plane. Points P and Q lie on the same side of XY such that

\angle XPY = 28^\circ

and

\angle XQY = 28^\circ

. Determine whether X, Y, P and Q are concyclic. Give a brief reason.