In the figure, FGJ is a triangle with GJ = GF, while EFGH is a parallelogram and HGJ is a straight line. Given ∠GHE = 96°, ∠DGJ = 153° and ∠EDG = 53°, find
- ∠GFJ
- ∠DGF
(a)
∠EHG
= ∠FGJ
= 96° (Corresponding angles)
∠GFJ
= (180° - 96°) ÷ 2
= 42° (Isosceles triangle)
(b)
∠DGF
= 360° - 153° - 96°
= 111° (Angles at a point)
Answer(s): (a) 42°; (b) 111°