PSLEIn the figure, LMNP is a parallelogram. LJP and JNK are straight lines. ∠KNP = 147°, ∠LPN = 46° and ∠LNJ = 20°.
- Find ∠MNK.
- Find ∠MLN.
(a)
∠MNP
= 180° - 46°
= 134° (Interior angles)
∠MNK
= 360° - 147° - 134°
= 79° (Angles at a point)
(b)
∠PNJ
= 180° - 147°
= 33°(Angles on a straight line)
∠MLN
= ∠LNP
= 33° + 20°
= 53° (Alternate angles)
Answer(s): (a) 79°; (b) 53°