In the diagram above, ML//PQ and NP//QR, if ∠LMN = 40° and ∠MNP = 55°. Find ∠QPR

  • A 15o
  • B 25o
  • C 35o
  • D 40o
  • E 55o
waec 1992mathematics

The correct answer is A. 15o

Draw line ANB// ML

< MNA = 40° (alternate angle AB/ ML)

< ANP = 55° - 40° = 15°

< POR = 15° = < ANP (corresponding angles, PN // RQ)

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