In the figure, FGJ and LKlH are straight lines. ∠FLK = 44°, ∠LFK = 44°, ∠GHJ = 35° and ∠GJH = 115°. Find
- ∠FKG
- ∠KFG
(a)
∠FKL
= 180° - 44° - 44°
= 92° (Angles sum of triangle)
∠FKG
= 180° - 92°
= 88° (Angles on a straight line)
(b)
∠JGH
= 180° - 115° - 35°
= 30° (Angles sum of triangle)
∠FGK = ∠JGH = 30° (Vertically opposite angles)
∠KFG
= 180° - 88° - 30°
= 62° (Angles sum of triangle)
Answer(s): (a) 88°; (b) 62°