PSLEIn the figure, MNPQ is a parallelogram. MKQ and KPL are straight lines. ∠LPQ = 150°, ∠MQP = 42° and ∠MPK = 23°.
- Find ∠NPL.
- Find ∠NMP.
(a)
∠NPQ
= 180° - 42°
= 138° (Interior angles)
∠NPL
= 360° - 150° - 138°
= 72° (Angles at a point)
(b)
∠QPK
= 180° - 150°
= 30°(Angles on a straight line)
∠NMP
= ∠MPQ
= 30° + 23°
= 53° (Alternate angles)
Answer(s): (a) 72°; (b) 53°