PSLEIn the figure, KLMN is a parallelogram. KHN and HMJ are straight lines. ∠JMN = 147°, ∠KNM = 46° and ∠KMH = 17°.
- Find ∠LMJ.
- Find ∠LKM.
(a)
∠LMN
= 180° - 46°
= 134° (Interior angles)
∠LMJ
= 360° - 147° - 134°
= 79° (Angles at a point)
(b)
∠NMH
= 180° - 147°
= 33°(Angles on a straight line)
∠LKM
= ∠KMN
= 33° + 17°
= 50° (Alternate angles)
Answer(s): (a) 79°; (b) 50°