In the figure, DEH and GEF are right-angled triangles. HE is parallel to GF. Find
- ∠EFG
- ∠EHG
(a)
∠GEH
= 360° - 90° - 90° - 123°
= 57° (Angles at a point)
∠EGF = ∠GEH = 57° (Alternate angles)
∠EFG
= 180° - ∠GEF - ∠EGF
= 180° - 90° - 57°
= 33° (Angles sum of triangle)
(b)
∠EHG
= 180° - ∠GEH - ∠EGH
= 180° - 57° - 81°
= 42° (Angles sum of triangle)
Answer(s): (a) 33°; (b) 42°