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\(^o\)
waec 2020mathematics

The correct answer is B. 60\(^o\)

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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