PSLE In the figure, GHK and MLK are straight lines and LH is parallel to KJ. ∠LMG is a right angle, ∠MGH = 49°, ∠GHJ = 117° and ∠KLH = 66°.
- Find ∠GHL.
- Find ∠HJK.
(a)
∠GKM
= 180° - 90° - 49°
= 41° (Angles sum of triangle)
∠KHL
= 180° - 66° - 41°
= 73° (Angles sum of triangle)
∠GHL
= 180° - 73°
= 117° (Angles on a straight line)
(b)
∠KHJ
= 360° - 117° - 73° - 117°
= 53° (Angles at a point)
∠HJK
= 180° - 53° - 53°
= 74°
Answer(s): (a) 117°; (b) 74°