In the diagram, O is the centre of the circle. If < NLM = 74\(^o\), < LMN = 39\(^o\) and < LOM = x, find the value of x.
Attached Figure / Diagram
A
134\(^o\)
B
126\(^o\)
C
113\(^o\)
D
106\(^o\)
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
L\(N\)M = 180\(^o\) - (74\(^o\) + 39\(^o\))
180\(^o\) - 113\(^o\)
= 67\(^o\)
L\(^O\)
M = x = 2 x 67\(^o\)
= 134\(^o\)
Source: Myschool Past Questions Archive (Record #58465)