PSLEIn the figure, LMNP is a parallelogram. LJP and JNK are straight lines. ∠KNP = 151°, ∠LPN = 44° and ∠LNJ = 17°.
- Find ∠MNK.
- Find ∠MLN.
(a)
∠MNP
= 180° - 44°
= 136° (Interior angles)
∠MNK
= 360° - 151° - 136°
= 73° (Angles at a point)
(b)
∠PNJ
= 180° - 151°
= 29°(Angles on a straight line)
∠MLN
= ∠LNP
= 29° + 17°
= 46° (Alternate angles)
Answer(s): (a) 73°; (b) 46°