PSLE In the figure, GHK and MLK are straight lines and LH is parallel to KJ. ∠LMG is a right angle, ∠MGH = 49°, ∠GHJ = 118° and ∠KLH = 64°.
- Find ∠GHL.
- Find ∠HJK.
(a)
∠GKM
= 180° - 90° - 49°
= 41° (Angles sum of triangle)
∠KHL
= 180° - 64° - 41°
= 75° (Angles sum of triangle)
∠GHL
= 180° - 75°
= 118° (Angles on a straight line)
(b)
∠KHJ
= 360° - 118° - 75° - 118°
= 49° (Angles at a point)
∠HJK
= 180° - 49° - 49°
= 82°
Answer(s): (a) 118°; (b) 82°