In the figure, FGJ and LKlH are straight lines. ∠FLK = 45°, ∠LFK = 40°, ∠GHJ = 25° and ∠GJH = 112°. Find
- ∠FKG
- ∠KFG
(a)
∠FKL
= 180° - 40° - 45°
= 95° (Angles sum of triangle)
∠FKG
= 180° - 95°
= 85° (Angles on a straight line)
(b)
∠JGH
= 180° - 112° - 25°
= 43° (Angles sum of triangle)
∠FGK = ∠JGH = 43° (Vertically opposite angles)
∠KFG
= 180° - 85° - 43°
= 52° (Angles sum of triangle)
Answer(s): (a) 85°; (b) 52°
