PSLE In the figure, FGJ and LKJ are straight lines and KG is parallel to JH. ∠KLF is a right angle, ∠LFG = 48°, ∠FGH = 122° and ∠JKG = 71°.
- Find ∠FGK.
- Find ∠GHJ.
(a)
∠FJL
= 180° - 90° - 48°
= 42° (Angles sum of triangle)
∠JGK
= 180° - 71° - 42°
= 67° (Angles sum of triangle)
∠FGK
= 180° - 67°
= 122° (Angles on a straight line)
(b)
∠JGH
= 360° - 122° - 67° - 122°
= 49° (Angles at a point)
∠GHJ
= 180° - 49° - 49°
= 82°
Answer(s): (a) 122°; (b) 82°