Home » 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.
    30o
  • B.
    50o
  • C.
    61o
  • D.
    78o
  • E.
    65.5(^{circ})
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°)