PSLEIn the figure, MNPQ is a parallelogram. MKQ and KPL are straight lines. ∠LPQ = 151°, ∠MQP = 43° and ∠MPK = 21°.
- Find ∠NPL.
- Find ∠NMP.
(a)
∠NPQ
= 180° - 43°
= 137° (Interior angles)
∠NPL
= 360° - 151° - 137°
= 72° (Angles at a point)
(b)
∠QPK
= 180° - 151°
= 29°(Angles on a straight line)
∠NMP
= ∠MPQ
= 29° + 21°
= 50° (Alternate angles)
Answer(s): (a) 72°; (b) 50°