PSLE In the figure, GHK and MLK are straight lines and LH is parallel to KJ. ∠LMG is a right angle, ∠MGH = 54°, ∠GHJ = 112° and ∠KLH = 66°.
- Find ∠GHL.
- Find ∠HJK.
(a)
∠GKM
= 180° - 90° - 54°
= 36° (Angles sum of triangle)
∠KHL
= 180° - 66° - 36°
= 78° (Angles sum of triangle)
∠GHL
= 180° - 78°
= 112° (Angles on a straight line)
(b)
∠KHJ
= 360° - 112° - 78° - 112°
= 58° (Angles at a point)
∠HJK
= 180° - 58° - 58°
= 64°
Answer(s): (a) 112°; (b) 64°