PSLEIn the figure, LMNP is a parallelogram. LJP and JNK are straight lines. ∠KNP = 148°, ∠LPN = 43° and ∠LNJ = 20°.
- Find ∠MNK.
- Find ∠MLN.
(a)
∠MNP
= 180° - 43°
= 137° (Interior angles)
∠MNK
= 360° - 148° - 137°
= 75° (Angles at a point)
(b)
∠PNJ
= 180° - 148°
= 32°(Angles on a straight line)
∠MLN
= ∠LNP
= 32° + 20°
= 52° (Alternate angles)
Answer(s): (a) 75°; (b) 52°