PSLE In the figure, FGJ and LKJ are straight lines and KG is parallel to JH. ∠KLF is a right angle, ∠LFG = 51°, ∠FGH = 114° and ∠JKG = 64°.
- Find ∠FGK.
- Find ∠GHJ.
(a)
∠FJL
= 180° - 90° - 51°
= 39° (Angles sum of triangle)
∠JGK
= 180° - 64° - 39°
= 77° (Angles sum of triangle)
∠FGK
= 180° - 77°
= 114° (Angles on a straight line)
(b)
∠JGH
= 360° - 114° - 77° - 114°
= 55° (Angles at a point)
∠GHJ
= 180° - 55° - 55°
= 70°
Answer(s): (a) 114°; (b) 70°