The figure is not drawn to scale. EF//HG and GF//JE. Triangles EJF and FGH are isosceles triangles. Find
- ∠h
- ∠i.
(a)
∠FGH = ∠FEJ = 76° (GF//JE, FE//GH)
∠EFJ
= (180° - 76°) ÷ 2
= 104° ÷ 2
= 52° (Isosceles triangle)
∠GFH
= 180° - 76° - 76°
= 28° (Isosceles triangle)
∠h
= 180° - 76° - 52° - 28°
= 24° (Interior angles, FE//GH)
(b)
∠i
= 180° - 29° - 24°
= 127° (Angles sum of triangle)
Answer(s): (a) 24°; (b) 127°
