In the diagram, PQ is a straight line. If m = \(\frac{1}{2}\) (x + y + z), find value of m.
Attached Figure / Diagram
A
45\(^o\)
B
60\(^o\)
C
90\(^o\)
D
100\(^o\)
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
x + y + m + z = 180º
but m = \(\frac{1}{2}\)(x + y + z)
2m = ( x + y + z )
Thus ( x + y + z) + m = 180º
(2m) + m = 180º
3m = 180º
m = \(\frac{180º}{3}\) = 60º
Source: WAEC / JAMB / NECO Classroom Archive (Record #58361)