Determine the value of x in the figure
Attached Figure / Diagram
A
134o
B
81o
C
53o
D
46o
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
Within the triangle,
180^\circ - (81^\circ + 53^\circ) = 46^\circ
In a cyclic quadrilateral, the sum of two opposite angles = 180^\circ
\(\therefore\) x = 180^\circ - 46^\circ = 134^\circ
Source: Myschool Past Questions Archive (Record #33044)