PSLE In the figure, GHJK is a parallelogram. EKG and FKJ are straight lines and EF = FG. ∠EFK = 30° and ∠HJK = 55°.
- Find ∠JKG.
- Find ∠KFG.
(a)
∠JKG
= 180° - 55°
= 125° (Interior angles)
(b)
∠EKF
= ∠JKG
= 125° (Vertically opposite angles)
∠FEK
= 180° - 125° - 30°
= 25° (Angles sum of triangle)
∠FGK = ∠FEK (Isosceles triangle)
∠EFG
= 180° - 25° - 25°
= 130° (Angles sum of triangle)
∠KFG
= 130° - 30°
= 100°
Answer(s): (a) 125°; (b) 100°