PSLE In the figure, GHK and MLK are straight lines and LH is parallel to KJ. ∠LMG is a right angle, ∠MGH = 50°, ∠GHJ = 118° and ∠KLH = 69°.
- Find ∠GHL.
- Find ∠HJK.
(a)
∠GKM
= 180° - 90° - 50°
= 40° (Angles sum of triangle)
∠KHL
= 180° - 69° - 40°
= 71° (Angles sum of triangle)
∠GHL
= 180° - 71°
= 118° (Angles on a straight line)
(b)
∠KHJ
= 360° - 118° - 71° - 118°
= 53° (Angles at a point)
∠HJK
= 180° - 53° - 53°
= 74°
Answer(s): (a) 118°; (b) 74°