PSLE In the figure, FGJ and LKJ are straight lines and KG is parallel to JH. ∠KLF is a right angle, ∠LFG = 49°, ∠FGH = 116° and ∠JKG = 65°.
- Find ∠FGK.
- Find ∠GHJ.
(a)
∠FJL
= 180° - 90° - 49°
= 41° (Angles sum of triangle)
∠JGK
= 180° - 65° - 41°
= 74° (Angles sum of triangle)
∠FGK
= 180° - 74°
= 116° (Angles on a straight line)
(b)
∠JGH
= 360° - 116° - 74° - 116°
= 54° (Angles at a point)
∠GHJ
= 180° - 54° - 54°
= 72°
Answer(s): (a) 116°; (b) 72°