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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\(^o\)
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Correct Answer: Option B
Explanation

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


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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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