Mathematics

Problem

Rays

PX

PY

and

PZ

are drawn such that ray

PY

lies between

PX

and

PZ

. It is given that

\angle XPY = 75^\circ

and

\angle YPZ = 105^\circ

. Which of the following is true? a) Rays

PX

and

PY

form a straight line. b) Rays

PY

and

PZ

form a straight line. c) Rays

PX

and

PZ

form a straight line. d) No two of these rays are collinear.