In the figure, EFH is a triangle with FH = FE, while DEFG is a parallelogram and GFH is a straight line. Given ∠FGD = 92°, ∠CFH = 144° and ∠DCF = 59°, find
- ∠FEH
- ∠CFE
(a)
∠DGF
= ∠EFH
= 92° (Corresponding angles)
∠FEH
= (180° - 92°) ÷ 2
= 44° (Isosceles triangle)
(b)
∠CFE
= 360° - 144° - 92°
= 124° (Angles at a point)
Answer(s): (a) 44°; (b) 124°