In the figure, FGJ and LKlH are straight lines. ∠FLK = 40°, ∠LFK = 43°, ∠GHJ = 32° and ∠GJH = 100°. Find
- ∠FKG
- ∠KFG
(a)
∠FKL
= 180° - 43° - 40°
= 97° (Angles sum of triangle)
∠FKG
= 180° - 97°
= 83° (Angles on a straight line)
(b)
∠JGH
= 180° - 100° - 32°
= 48° (Angles sum of triangle)
∠FGK = ∠JGH = 48° (Vertically opposite angles)
∠KFG
= 180° - 83° - 48°
= 49° (Angles sum of triangle)
Answer(s): (a) 83°; (b) 49°
