PSLE In the figure, FGJ and LKJ are straight lines and KG is parallel to JH. ∠KLF is a right angle, ∠LFG = 49°, ∠FGH = 112° and ∠JKG = 67°.
- Find ∠FGK.
- Find ∠GHJ.
(a)
∠FJL
= 180° - 90° - 49°
= 41° (Angles sum of triangle)
∠JGK
= 180° - 67° - 41°
= 72° (Angles sum of triangle)
∠FGK
= 180° - 72°
= 112° (Angles on a straight line)
(b)
∠JGH
= 360° - 112° - 72° - 112°
= 64° (Angles at a point)
∠GHJ
= 180° - 64° - 64°
= 52°
Answer(s): (a) 112°; (b) 52°