PSLE In the figure, GHJK is a parallelogram. EKG and FKJ are straight lines and EF = FG. ∠EFK = 30° and ∠HJK = 59°.
- Find ∠JKG.
- Find ∠KFG.
(a)
∠JKG
= 180° - 59°
= 121° (Interior angles)
(b)
∠EKF
= ∠JKG
= 121° (Vertically opposite angles)
∠FEK
= 180° - 121° - 30°
= 29° (Angles sum of triangle)
∠FGK = ∠FEK (Isosceles triangle)
∠EFG
= 180° - 29° - 29°
= 122° (Angles sum of triangle)
∠KFG
= 122° - 30°
= 92°
Answer(s): (a) 121°; (b) 92°