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In the diagram above ML PQ and NP QR if LMN 40 ... - WAEC Mathematics 1992 Question

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
correct option: a

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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