PSLE In the figure, FGJ and LKJ are straight lines and KG is parallel to JH. ∠KLF is a right angle, ∠LFG = 54°, ∠FGH = 119° and ∠JKG = 68°.
- Find ∠FGK.
- Find ∠GHJ.
(a)
∠FJL
= 180° - 90° - 54°
= 36° (Angles sum of triangle)
∠JGK
= 180° - 68° - 36°
= 76° (Angles sum of triangle)
∠FGK
= 180° - 76°
= 119° (Angles on a straight line)
(b)
∠JGH
= 360° - 119° - 76° - 119°
= 46° (Angles at a point)
∠GHJ
= 180° - 46° - 46°
= 88°
Answer(s): (a) 119°; (b) 88°