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

MATHEMATICSWAEC 2004

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

The diagram is a circle centre O. Find the value of x
  • The diagram is a circle centre O. Find the value of x A. 30°
  • B. 50°
  • C. 61°
  • D. 65.5°

Correct Answer: D. 65.5°

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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