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In the diagram, SQ is a tangent to the circle at P, XP||YQ, ∠XPY =...

Mathematics
WAEC 2002

In the diagram, SQ is a tangent to the circle at P, XP||YQ, ∠XPY = 56 o and ∠PXY = 80 o.Find angle PQY

  • A. 34o
  • B. 13.36o
  • C. 44o
  • D. 46o
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Correct Answer: Option A
Explanation

< XYQ = 180° - (80° + 56°)

= 44°

< PYQ = 56° (alternate angles, XP||YQ)

< QPY = 90°

< PQY = 180° - (90° + 56°)

= 34°

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