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In the diagram, RT is a tangent to the circle at R, < PQR =...

Mathematics
WAEC 2019

In the diagram, RT is a tangent to the circle at R, < PQR = 70\(^o\), < QRT = 52\(^o\), < QSR and < PRQ = x. Calculate the value of x.

  • A. 70\(^o\)
  • B. 58\(^o\)
  • C. 55\(^o\)
  • D. 48\(^o\)
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Correct Answer: Option B
Explanation

x = 180\(^o\) - (52\(^o\) + 70\(^o\))

= 180\(o\) - 122\(^o\)

= 58\(^o\) 

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