In the figure, GHL and KHJ are right-angled triangles. LH is parallel to KJ. Find
- ∠HJK
- ∠HLK
(a)
∠KHL
= 360° - 90° - 90° - 125°
= 55° (Angles at a point)
∠HKJ = ∠KHL = 55° (Alternate angles)
∠HJK
= 180° - ∠KHJ - ∠HKJ
= 180° - 90° - 55°
= 35° (Angles sum of triangle)
(b)
∠HLK
= 180° - ∠KHL - ∠HKL
= 180° - 55° - 88°
= 37° (Angles sum of triangle)
Answer(s): (a) 35°; (b) 37°
