In the figure, FGJ and LKlH are straight lines. ∠FLK = 48°, ∠LFK = 48°, ∠GHJ = 35° and ∠GJH = 104°. Find
- ∠FKG
- ∠KFG
(a)
∠FKL
= 180° - 48° - 48°
= 84° (Angles sum of triangle)
∠FKG
= 180° - 84°
= 96° (Angles on a straight line)
(b)
∠JGH
= 180° - 104° - 35°
= 41° (Angles sum of triangle)
∠FGK = ∠JGH = 41° (Vertically opposite angles)
∠KFG
= 180° - 96° - 41°
= 43° (Angles sum of triangle)
Answer(s): (a) 96°; (b) 43°
