In the figure, EGJ and FGH are straight lines. GE = GF and HG = HJ. If ∠FEG = 58°, find
- ∠EGH
- ∠GHJ
(a)
∠EGH
= 58° + 58°
= 116° (Exterior angle of a triangle)
(b)
∠HGJ
= 180° - 116°
= 64° (Angles on a straight line)
∠GHJ
= 180° - 64° - 64°
= 52° (Isosceles triangle)
Answer(s): (a) 116°; (b) 52°