PSLE In the figure, GHK and MLK are straight lines and LH is parallel to KJ. ∠LMG is a right angle, ∠MGH = 53°, ∠GHJ = 115° and ∠KLH = 69°.
- Find ∠GHL.
- Find ∠HJK.
(a)
∠GKM
= 180° - 90° - 53°
= 37° (Angles sum of triangle)
∠KHL
= 180° - 69° - 37°
= 74° (Angles sum of triangle)
∠GHL
= 180° - 74°
= 115° (Angles on a straight line)
(b)
∠KHJ
= 360° - 115° - 74° - 115°
= 56° (Angles at a point)
∠HJK
= 180° - 56° - 56°
= 68°
Answer(s): (a) 115°; (b) 68°