In the figure, FGJ is a triangle with GJ = GF, while EFGH is a parallelogram and HGJ is a straight line. Given ∠GHE = 94°, ∠DGJ = 143° and ∠EDG = 55°, find
- ∠GFJ
- ∠DGF
(a)
∠EHG
= ∠FGJ
= 94° (Corresponding angles)
∠GFJ
= (180° - 94°) ÷ 2
= 43° (Isosceles triangle)
(b)
∠DGF
= 360° - 143° - 94°
= 123° (Angles at a point)
Answer(s): (a) 43°; (b) 123°