In the diagram, PQ is a straight line. If m = \(\frac{1}{2}\) (x + y
MATHEMATICS
WAEC 2020
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: B. 60\(^o\)
Explanation
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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