PSLE In the figure, GHJK is a parallelogram. EKG and FKJ are straight lines and EF = FG. ∠EFK = 29° and ∠HJK = 56°.
- Find ∠JKG.
- Find ∠KFG.
(a)
∠JKG
= 180° - 56°
= 124° (Interior angles)
(b)
∠EKF
= ∠JKG
= 124° (Vertically opposite angles)
∠FEK
= 180° - 124° - 29°
= 27° (Angles sum of triangle)
∠FGK = ∠FEK (Isosceles triangle)
∠EFG
= 180° - 27° - 27°
= 126° (Angles sum of triangle)
∠KFG
= 126° - 29°
= 97°
Answer(s): (a) 124°; (b) 97°