In the figure, DEH and GEF are right-angled triangles. HE is parallel to GF. Find
- ∠EFG
- ∠EHG
(a)
∠GEH
= 360° - 90° - 90° - 126°
= 54° (Angles at a point)
∠EGF = ∠GEH = 54° (Alternate angles)
∠EFG
= 180° - ∠GEF - ∠EGF
= 180° - 90° - 54°
= 36° (Angles sum of triangle)
(b)
∠EHG
= 180° - ∠GEH - ∠EGH
= 180° - 54° - 84°
= 42° (Angles sum of triangle)
Answer(s): (a) 36°; (b) 42°