A circle has a chord XY. Two distinct points P and Q lie on the circumference on the same side of XY. Answer the following questions.
a. (i) Define a chord of a circle.
b. (ii) What is a segment of a circle? Name the segment in which points P and Q lie with respect to the chord XY.
c. (iii) The chord XY subtends ∠XPY at P and ∠XQY at Q. Explain why these two angles are equal.