P is on the locus of points equidiatant from two given points X and Y. UV is a straight line throuh Y parallel to the locus. If < PYU is 40^\circ, find < XPY.
A
100o
B
80 o
C
50 o
D
40 o
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
< PYU = < YPQ = 40^\circ(Alternative) = PQ\(\parallel\)UV
< XPQ = < YPQ = 40^\circ, Since QX = QY
therefore < XPY = 80^\circ
Source: Myschool Past Questions Archive (Record #30935)