The figure is not drawn to scale. CD//FE and ED//GC. Triangles CGD and DEF are isosceles triangles. Find
- ∠v
- ∠w.
(a)
∠DEF = ∠DCG = 76° (ED//GC, DC//EF)
∠CDG
= (180° - 76°) ÷ 2
= 104° ÷ 2
= 52° (Isosceles triangle)
∠EDF
= 180° - 76° - 76°
= 28° (Isosceles triangle)
∠v
= 180° - 76° - 52° - 28°
= 24° (Interior angles, DC//EF)
(b)
∠w
= 180° - 26° - 24°
= 130° (Angles sum of triangle)
Answer(s): (a) 24°; (b) 130°