In the figure, GHL and KHJ are right-angled triangles. LH is parallel to KJ. Find
- ∠HJK
- ∠HLK
(a)
∠KHL
= 360° - 90° - 90° - 124°
= 56° (Angles at a point)
∠HKJ = ∠KHL = 56° (Alternate angles)
∠HJK
= 180° - ∠KHJ - ∠HKJ
= 180° - 90° - 56°
= 34° (Angles sum of triangle)
(b)
∠HLK
= 180° - ∠KHL - ∠HKL
= 180° - 56° - 85°
= 39° (Angles sum of triangle)
Answer(s): (a) 34°; (b) 39°