JAMB - Mathematics (1995 - No. 27)

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°, find < XPY.
100o
80 o
50 o
40 o

Explanation

< PYU = < YPQ = 40°(Alternative) = PQ\(\parallel\)UV

< XPQ = < YPQ = 40°, Since QX = QY

therefore < XPY = 80°

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