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P is on the locus of points equidiatant from two given points X and Y. UV is a straight ...

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.
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  • A 100o
  • B 80 o
  • C 50 o
  • D 40 o
Correct Answer: Option B
Explanation:
< PYU = < YPQ = 40°(Alternative) = PQ\(\parallel\)UV
< XPQ = < YPQ = 40°, Since QX = QY
therefore < XPY = 80°

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