In the figure, EFJ and HFG are right-angled triangles. JF is parallel to HG. Find
- ∠FGH
- ∠FJH
(a)
∠HFJ
= 360° - 90° - 90° - 120°
= 60° (Angles at a point)
∠FHG = ∠HFJ = 60° (Alternate angles)
∠FGH
= 180° - ∠HFG - ∠FHG
= 180° - 90° - 60°
= 30° (Angles sum of triangle)
(b)
∠FJH
= 180° - ∠HFJ - ∠FHJ
= 180° - 60° - 83°
= 37° (Angles sum of triangle)
Answer(s): (a) 30°; (b) 37°