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The diagram is a circle centre O. Find the value of x

Mathematics
WAEC 2004

The diagram is a circle centre O. Find the value of x

  • A. 30o
  • B. 50o
  • C. 61o
  • D. 78o
  • E. 65.5\(^{\circ}\)
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Correct Answer: Option E
Explanation

∠PQR (Reflex) = 360° – 68° = 292°
∠PQR = 2∠PQR
292° = 4x + 30°
4x = 292 – 30 = 262
\(x = \frac{262}{4}=65.5°\)


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