In the figure, FGJ and LKlH are straight lines. ∠FLK = 47°, ∠LFK = 41°, ∠GHJ = 25° and ∠GJH = 107°. Find
- ∠FKG
- ∠KFG
(a)
∠FKL
= 180° - 41° - 47°
= 92° (Angles sum of triangle)
∠FKG
= 180° - 92°
= 88° (Angles on a straight line)
(b)
∠JGH
= 180° - 107° - 25°
= 48° (Angles sum of triangle)
∠FGK = ∠JGH = 48° (Vertically opposite angles)
∠KFG
= 180° - 88° - 48°
= 44° (Angles sum of triangle)
Answer(s): (a) 88°; (b) 44°