In the diagram, PQ is a straight line. If m = \(\frac{1}{...
In the diagram, PQ is a straight line. If m = \(\frac{1}{2}\) (x + y + z), find value of m.
45\(^o\)
60\(^o\)
90\(^o\)
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\(^o\)
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