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Find the value of x in the diagram above.

Mathematics
WAEC 2024

Find the value of x in the diagram above.

  • A. 120º
  • B. 100º
  • C. 60º
  • D. 150º
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Correct Answer: Option A
Explanation

\(\angle\)N + \(\angle\)P + \(\angle\)M = 180 ( sum of angles in \(\triangle\) NPM)

65º + 55º + \(\angle\)M = 180

\(\angle\)M = 180 - 65 - 55 = 60º

x + \(\angle\)M = 180(opp interior angles of parallel lines are supplementary)

x = 180 - 60 = 120º


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