The figure is not drawn to scale. EF//HG and GF//JE. Triangles EJF and FGH are isosceles triangles. Find
- ∠w
- ∠x.
(a)
∠FGH = ∠FEJ = 74° (GF//JE, FE//GH)
∠EFJ
= (180° - 74°) ÷ 2
= 106° ÷ 2
= 53° (Isosceles triangle)
∠GFH
= 180° - 74° - 74°
= 32° (Isosceles triangle)
∠w
= 180° - 74° - 53° - 32°
= 21° (Interior angles, FE//GH)
(b)
∠x
= 180° - 24° - 21°
= 135° (Angles sum of triangle)
Answer(s): (a) 21°; (b) 135°