PSLEIn the figure, LMNP is a parallelogram. LJP and JNK are straight lines. ∠KNP = 149°, ∠LPN = 45° and ∠LNJ = 19°.
- Find ∠MNK.
- Find ∠MLN.
(a)
∠MNP
= 180° - 45°
= 135° (Interior angles)
∠MNK
= 360° - 149° - 135°
= 76° (Angles at a point)
(b)
∠PNJ
= 180° - 149°
= 31°(Angles on a straight line)
∠MLN
= ∠LNP
= 31° + 19°
= 50° (Alternate angles)
Answer(s): (a) 76°; (b) 50°