PSLEIn the figure, LMNP is a parallelogram. LJP and JNK are straight lines. ∠KNP = 149°, ∠LPN = 47° and ∠LNJ = 17°.
- Find ∠MNK.
- Find ∠MLN.
(a)
∠MNP
= 180° - 47°
= 133° (Interior angles)
∠MNK
= 360° - 149° - 133°
= 78° (Angles at a point)
(b)
∠PNJ
= 180° - 149°
= 31°(Angles on a straight line)
∠MLN
= ∠LNP
= 31° + 17°
= 48° (Alternate angles)
Answer(s): (a) 78°; (b) 48°