PSLEIn the figure, LMNP is a parallelogram. LJP and JNK are straight lines. ∠KNP = 149°, ∠LPN = 48° and ∠LNJ = 21°.
- Find ∠MNK.
- Find ∠MLN.
(a)
∠MNP
= 180° - 48°
= 132° (Interior angles)
∠MNK
= 360° - 149° - 132°
= 79° (Angles at a point)
(b)
∠PNJ
= 180° - 149°
= 31°(Angles on a straight line)
∠MLN
= ∠LNP
= 31° + 21°
= 52° (Alternate angles)
Answer(s): (a) 79°; (b) 52°