The diagram is a circle centre O. Find the value of x
Attached Figure / Diagram
A
30o
B
50o
C
61o
D
78o
E
65.5\(^{\circ}\)
Verified Correct Answer: E.
Step-by-Step Mathematical Solution
∠PQR (Reflex) = 360^\circ – 68^\circ = 292^\circ
∠PQR = 2∠PQR
292^\circ = 4x + 30^\circ
4x = 292 – 30 = 262
\(x = \frac{262}{4}=65.5^\circ\)
Source: Myschool Past Questions Archive (Record #26658)