From the cyclic quadrilateral MNOP above, find the value of x.
Attached Figure / Diagram
A
16°
B
25°
C
42°
D
39°
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
The sum of two opposite angles of a cyclic quadrilateral = 180^\circ
\(\therefore\) (2x + 18)^\circ + 84^\circ = 180^\circ
2x + 102^\circ = 180^\circ \(\implies\) 2x = 78^\circ
x = 39^\circ
Source: Myschool Past Questions Archive (Record #54977)