PSLEIn the figure, GHJK is a parallelogram. GEK and EJF are straight lines. ∠FJK = 153°, ∠GKJ = 42° and ∠GJE = 18°.
- Find ∠HJF.
- Find ∠HGJ.
(a)
∠HJK
= 180° - 42°
= 138° (Interior angles)
∠HJF
= 360° - 153° - 138°
= 69° (Angles at a point)
(b)
∠KJE
= 180° - 153°
= 27°(Angles on a straight line)
∠HGJ
= ∠GJK
= 27° + 18°
= 45° (Alternate angles)
Answer(s): (a) 69°; (b) 45°