PSLEIn the figure, GHJK is a parallelogram. GEK and EJF are straight lines. ∠FJK = 152°, ∠GKJ = 45° and ∠GJE = 20°.
- Find ∠HJF.
- Find ∠HGJ.
(a)
∠HJK
= 180° - 45°
= 135° (Interior angles)
∠HJF
= 360° - 152° - 135°
= 73° (Angles at a point)
(b)
∠KJE
= 180° - 152°
= 28°(Angles on a straight line)
∠HGJ
= ∠GJK
= 28° + 20°
= 48° (Alternate angles)
Answer(s): (a) 73°; (b) 48°