In the figure, GHL and KHJ are right-angled triangles. LH is parallel to KJ. Find
- ∠HJK
- ∠HLK
(a)
∠KHL
= 360° - 90° - 90° - 122°
= 58° (Angles at a point)
∠HKJ = ∠KHL = 58° (Alternate angles)
∠HJK
= 180° - ∠KHJ - ∠HKJ
= 180° - 90° - 58°
= 32° (Angles sum of triangle)
(b)
∠HLK
= 180° - ∠KHL - ∠HKL
= 180° - 58° - 87°
= 35° (Angles sum of triangle)
Answer(s): (a) 32°; (b) 35°