PSLE In the figure, GHK and MLK are straight lines and LH is parallel to KJ. ∠LMG is a right angle, ∠MGH = 48°, ∠GHJ = 123° and ∠KLH = 63°.
- Find ∠GHL.
- Find ∠HJK.
(a)
∠GKM
= 180° - 90° - 48°
= 42° (Angles sum of triangle)
∠KHL
= 180° - 63° - 42°
= 75° (Angles sum of triangle)
∠GHL
= 180° - 75°
= 123° (Angles on a straight line)
(b)
∠KHJ
= 360° - 123° - 75° - 123°
= 39° (Angles at a point)
∠HJK
= 180° - 39° - 39°
= 102°
Answer(s): (a) 123°; (b) 102°