PSLEIn the figure, GHJK is a parallelogram. GEK and EJF are straight lines. ∠FJK = 147°, ∠GKJ = 43° and ∠GJE = 22°.
- Find ∠HJF.
- Find ∠HGJ.
(a)
∠HJK
= 180° - 43°
= 137° (Interior angles)
∠HJF
= 360° - 147° - 137°
= 76° (Angles at a point)
(b)
∠KJE
= 180° - 147°
= 33°(Angles on a straight line)
∠HGJ
= ∠GJK
= 33° + 22°
= 55° (Alternate angles)
Answer(s): (a) 76°; (b) 55°