PSLE In the figure, FGJ and LKJ are straight lines and KG is parallel to JH. ∠KLF is a right angle, ∠LFG = 52°, ∠FGH = 110° and ∠JKG = 65°.
- Find ∠FGK.
- Find ∠GHJ.
(a)
∠FJL
= 180° - 90° - 52°
= 38° (Angles sum of triangle)
∠JGK
= 180° - 65° - 38°
= 77° (Angles sum of triangle)
∠FGK
= 180° - 77°
= 110° (Angles on a straight line)
(b)
∠JGH
= 360° - 110° - 77° - 110°
= 63° (Angles at a point)
∠GHJ
= 180° - 63° - 63°
= 54°
Answer(s): (a) 110°; (b) 54°