PSLEIn the figure, GHJK is a parallelogram. GEK and EJF are straight lines. ∠FJK = 152°, ∠GKJ = 42° and ∠GJE = 23°.
- Find ∠HJF.
- Find ∠HGJ.
(a)
∠HJK
= 180° - 42°
= 138° (Interior angles)
∠HJF
= 360° - 152° - 138°
= 70° (Angles at a point)
(b)
∠KJE
= 180° - 152°
= 28°(Angles on a straight line)
∠HGJ
= ∠GJK
= 28° + 23°
= 51° (Alternate angles)
Answer(s): (a) 70°; (b) 51°