PSLEIn the figure, KLMN is a parallelogram. KHN and HMJ are straight lines. ∠JMN = 149°, ∠KNM = 44° and ∠KMH = 19°.
- Find ∠LMJ.
- Find ∠LKM.
(a)
∠LMN
= 180° - 44°
= 136° (Interior angles)
∠LMJ
= 360° - 149° - 136°
= 75° (Angles at a point)
(b)
∠NMH
= 180° - 149°
= 31°(Angles on a straight line)
∠LKM
= ∠KMN
= 31° + 19°
= 50° (Alternate angles)
Answer(s): (a) 75°; (b) 50°