In the figure, CDG and FDE are right-angled triangles. GD is parallel to FE. Find
- ∠DEF
- ∠DGF
(a)
∠FDG
= 360° - 90° - 90° - 120°
= 60° (Angles at a point)
∠DFE = ∠FDG = 60° (Alternate angles)
∠DEF
= 180° - ∠FDE - ∠DFE
= 180° - 90° - 60°
= 30° (Angles sum of triangle)
(b)
∠DGF
= 180° - ∠FDG - ∠DFG
= 180° - 60° - 83°
= 37° (Angles sum of triangle)
Answer(s): (a) 30°; (b) 37°