PSLEIn the figure, MNPQ is a parallelogram. MKQ and KPL are straight lines. ∠LPQ = 149°, ∠MQP = 47° and ∠MPK = 17°.
- Find ∠NPL.
- Find ∠NMP.
(a)
∠NPQ
= 180° - 47°
= 133° (Interior angles)
∠NPL
= 360° - 149° - 133°
= 78° (Angles at a point)
(b)
∠QPK
= 180° - 149°
= 31°(Angles on a straight line)
∠NMP
= ∠MPQ
= 31° + 17°
= 48° (Alternate angles)
Answer(s): (a) 78°; (b) 48°