Mathematics

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

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
Correct Answer: Option A
Explanation

Draw line ANB// ML

< MNA = 40° (alternate angle AB/ ML)

< ANP = 55° – 40° = 15°

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