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

A.
30^{o} 
B.
50^{o} 
C.
61^{o} 
D.
78^{o} 
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°)