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Find the value of m in the diagram

Mathematics
WAEC 2017

Find the value of m in the diagram

  • A. 72\(^o\)
  • B. 68\(^o\)
  • C. 44\(^o\)
  • D. 34\(^o\)
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Correct Answer: Option C
Explanation

2x + m = 180

x + m = 112

x = 122 - m

2(112 - m) + m = 180

224 - 2m + m = 180

224 - m = 180

224 - 180 = m

m = 44\(^o\)


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