WAEC - Mathematics (1992 - No. 24)

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

15^o

25^o

35^o

40^o

55^o

Draw line ANB// ML

< MNA = 40° (alternate angle AB/ ML)

< ANP = 55° - 40° = 15°

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