PSLEIn the figure, MNPQ is a parallelogram. MKQ and KPL are straight lines. ∠LPQ = 147°, ∠MQP = 47° and ∠MPK = 22°.
- Find ∠NPL.
- Find ∠NMP.
(a)
∠NPQ
= 180° - 47°
= 133° (Interior angles)
∠NPL
= 360° - 147° - 133°
= 80° (Angles at a point)
(b)
∠QPK
= 180° - 147°
= 33°(Angles on a straight line)
∠NMP
= ∠MPQ
= 33° + 22°
= 55° (Alternate angles)
Answer(s): (a) 80°; (b) 55°