PSLEIn the figure, GHJK is a parallelogram. GEK and EJF are straight lines. ∠FJK = 151°, ∠GKJ = 47° and ∠GJE = 21°.
- Find ∠HJF.
- Find ∠HGJ.
(a)
∠HJK
= 180° - 47°
= 133° (Interior angles)
∠HJF
= 360° - 151° - 133°
= 76° (Angles at a point)
(b)
∠KJE
= 180° - 151°
= 29°(Angles on a straight line)
∠HGJ
= ∠GJK
= 29° + 21°
= 50° (Alternate angles)
Answer(s): (a) 76°; (b) 50°