PSLE In the figure, FGJ and LKJ are straight lines and KG is parallel to JH. ∠KLF is a right angle, ∠LFG = 52°, ∠FGH = 111° and ∠JKG = 71°.
- Find ∠FGK.
- Find ∠GHJ.
(a)
∠FJL
= 180° - 90° - 52°
= 38° (Angles sum of triangle)
∠JGK
= 180° - 71° - 38°
= 71° (Angles sum of triangle)
∠FGK
= 180° - 71°
= 111° (Angles on a straight line)
(b)
∠JGH
= 360° - 111° - 71° - 111°
= 67° (Angles at a point)
∠GHJ
= 180° - 67° - 67°
= 46°
Answer(s): (a) 111°; (b) 46°