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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 + 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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WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC offline past questions - with all answers and explanations in one app - Download for free
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC offline past questions - with all answers and explanations in one app - Download for free
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995