PSLE In the figure, GHJK is a parallelogram. EKG and FKJ are straight lines and EF = FG. ∠EFK = 23° and ∠HJK = 56°.
- Find ∠JKG.
- Find ∠KFG.
(a)
∠JKG
= 180° - 56°
= 124° (Interior angles)
(b)
∠EKF
= ∠JKG
= 124° (Vertically opposite angles)
∠FEK
= 180° - 124° - 23°
= 33° (Angles sum of triangle)
∠FGK = ∠FEK (Isosceles triangle)
∠EFG
= 180° - 33° - 33°
= 114° (Angles sum of triangle)
∠KFG
= 114° - 23°
= 91°
Answer(s): (a) 124°; (b) 91°