In the figure, FGJ and LKlH are straight lines. ∠FLK = 41°, ∠LFK = 45°, ∠GHJ = 40° and ∠GJH = 115°. Find
- ∠FKG
- ∠KFG
(a)
∠FKL
= 180° - 45° - 41°
= 94° (Angles sum of triangle)
∠FKG
= 180° - 94°
= 86° (Angles on a straight line)
(b)
∠JGH
= 180° - 115° - 40°
= 25° (Angles sum of triangle)
∠FGK = ∠JGH = 25° (Vertically opposite angles)
∠KFG
= 180° - 86° - 25°
= 69° (Angles sum of triangle)
Answer(s): (a) 86°; (b) 69°
