PSLE FGHJ is a trapezium with FG parallel to JH. FLG and KLJ are straight lines and FK = KG. ∠KFJ = 99°.
- Find ∠FJL.
- Find ∠GKL.
(a)
∠FJL
= 180° - 99° - 24°
= 57° (Angles sum of triangle)
(b)
∠FLJ
= 69° (Alternate angles)
∠GFK
= 69° - 24°
= 45° (Exterior angle of a triangle)
∠GKL
= 180° - 45° - 45° - 24°
= 66° (Angles sum of triangle)
Answer(s): (a) 57°; (b) 66°