In the figure, FGK and JGH are right-angled triangles. KG is parallel to JH. Find
- ∠GHJ
- ∠GKJ
(a)
∠JGK
= 360° - 90° - 90° - 125°
= 55° (Angles at a point)
∠GJH = ∠JGK = 55° (Alternate angles)
∠GHJ
= 180° - ∠JGH - ∠GJH
= 180° - 90° - 55°
= 35° (Angles sum of triangle)
(b)
∠GKJ
= 180° - ∠JGK - ∠GJK
= 180° - 55° - 86°
= 39° (Angles sum of triangle)
Answer(s): (a) 35°; (b) 39°
