PSLE In the figure, GHK and MLK are straight lines and LH is parallel to KJ. ∠LMG is a right angle, ∠MGH = 54°, ∠GHJ = 111° and ∠KLH = 67°.
- Find ∠GHL.
- Find ∠HJK.
(a)
∠GKM
= 180° - 90° - 54°
= 36° (Angles sum of triangle)
∠KHL
= 180° - 67° - 36°
= 77° (Angles sum of triangle)
∠GHL
= 180° - 77°
= 111° (Angles on a straight line)
(b)
∠KHJ
= 360° - 111° - 77° - 111°
= 61° (Angles at a point)
∠HJK
= 180° - 61° - 61°
= 58°
Answer(s): (a) 111°; (b) 58°