PSLEIn the figure, JKLM is a parallelogram. JGM and GLH are straight lines. ∠HLM = 149°, ∠JML = 47° and ∠JLG = 23°.
- Find ∠KLH.
- Find ∠KJL.
(a)
∠KLM
= 180° - 47°
= 133° (Interior angles)
∠KLH
= 360° - 149° - 133°
= 78° (Angles at a point)
(b)
∠MLG
= 180° - 149°
= 31°(Angles on a straight line)
∠KJL
= ∠JLM
= 31° + 23°
= 54° (Alternate angles)
Answer(s): (a) 78°; (b) 54°