In the figure, GHL and KHJ are right-angled triangles. LH is parallel to KJ. Find
- ∠HJK
- ∠HLK
(a)
∠KHL
= 360° - 90° - 90° - 123°
= 57° (Angles at a point)
∠HKJ = ∠KHL = 57° (Alternate angles)
∠HJK
= 180° - ∠KHJ - ∠HKJ
= 180° - 90° - 57°
= 33° (Angles sum of triangle)
(b)
∠HLK
= 180° - ∠KHL - ∠HKL
= 180° - 57° - 80°
= 43° (Angles sum of triangle)
Answer(s): (a) 33°; (b) 43°