PSLEIn the figure, KLMN is a parallelogram. KHN and HMJ are straight lines. ∠JMN = 148°, ∠KNM = 47° and ∠KMH = 18°.
- Find ∠LMJ.
- Find ∠LKM.
(a)
∠LMN
= 180° - 47°
= 133° (Interior angles)
∠LMJ
= 360° - 148° - 133°
= 79° (Angles at a point)
(b)
∠NMH
= 180° - 148°
= 32°(Angles on a straight line)
∠LKM
= ∠KMN
= 32° + 18°
= 50° (Alternate angles)
Answer(s): (a) 79°; (b) 50°