PSLE In the figure, GHK and MLK are straight lines and LH is parallel to KJ. ∠LMG is a right angle, ∠MGH = 48°, ∠GHJ = 114° and ∠KLH = 71°.
- Find ∠GHL.
- Find ∠HJK.
(a)
∠GKM
= 180° - 90° - 48°
= 42° (Angles sum of triangle)
∠KHL
= 180° - 71° - 42°
= 67° (Angles sum of triangle)
∠GHL
= 180° - 67°
= 114° (Angles on a straight line)
(b)
∠KHJ
= 360° - 114° - 67° - 114°
= 65° (Angles at a point)
∠HJK
= 180° - 65° - 65°
= 50°
Answer(s): (a) 114°; (b) 50°