In the diagram, PQ is a straight line. If m = \(\frac{1}{2}\) (x + y + z), find value of m.
A.
45\(^o\)
B.
60\(^o\)
C.
90\(^o\)
D.
100\(^o\)
Correct answer is B
x + y + m + 2 = 180\(^o\)
\(\frac{x + y + 2}{2} + \frac{m}{2}\) = 90\(^o\)
m + \(\frac{m}{2} = 90^o\)
3m = 2 x 90\(^o\)
\(\frac{3m}{3} = \frac{180^o}{3}\)
m = 60\(^o\)