In the figure, DEH and GEF are right-angled triangles. HE is parallel to GF. Find
- ∠EFG
- ∠EHG
(a)
∠GEH
= 360° - 90° - 90° - 124°
= 56° (Angles at a point)
∠EGF = ∠GEH = 56° (Alternate angles)
∠EFG
= 180° - ∠GEF - ∠EGF
= 180° - 90° - 56°
= 34° (Angles sum of triangle)
(b)
∠EHG
= 180° - ∠GEH - ∠EGH
= 180° - 56° - 83°
= 41° (Angles sum of triangle)
Answer(s): (a) 34°; (b) 41°