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In the diagram above PQT is a tangent to the circle QRS at Q. Angle...

Mathematics
WAEC 1992

In the diagram above PQT is a tangent to the circle QRS at Q. Angle QTR = 48° and ∠QRT = 95°. Find ∠QSR

  • A. 48o
  • B. 45o
  • C. 37o
  • D. 32o
  • E. 30o
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Correct Answer: Option C
Explanation

∠RQT = 180° - (95° + 48°) = 37°
∠OQR = 90° - 37° = 53°
∠QOR = 180° - (53° + 53°) = 74°
QSR = 74°/2 = 37°

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