PSLE In the figure, GHK and MLK are straight lines and LH is parallel to KJ. ∠LMG is a right angle, ∠MGH = 50°, ∠GHJ = 122° and ∠KLH = 71°.
- Find ∠GHL.
- Find ∠HJK.
(a)
∠GKM
= 180° - 90° - 50°
= 40° (Angles sum of triangle)
∠KHL
= 180° - 71° - 40°
= 69° (Angles sum of triangle)
∠GHL
= 180° - 69°
= 122° (Angles on a straight line)
(b)
∠KHJ
= 360° - 122° - 69° - 122°
= 47° (Angles at a point)
∠HJK
= 180° - 47° - 47°
= 86°
Answer(s): (a) 122°; (b) 86°