PSLE In the figure, GHJK is a parallelogram. EKG and FKJ are straight lines and EF = FG. ∠EFK = 31° and ∠HJK = 60°.
- Find ∠JKG.
- Find ∠KFG.
(a)
∠JKG
= 180° - 60°
= 120° (Interior angles)
(b)
∠EKF
= ∠JKG
= 120° (Vertically opposite angles)
∠FEK
= 180° - 120° - 31°
= 29° (Angles sum of triangle)
∠FGK = ∠FEK (Isosceles triangle)
∠EFG
= 180° - 29° - 29°
= 122° (Angles sum of triangle)
∠KFG
= 122° - 31°
= 91°
Answer(s): (a) 120°; (b) 91°