PSLE In the figure, HJL and NML are straight lines and MJ is parallel to LK. ∠MNH is a right angle, ∠NHJ = 50°, ∠HJK = 114° and ∠LMJ = 68°.
- Find ∠HJM.
- Find ∠JKL.
(a)
∠HLN
= 180° - 90° - 50°
= 40° (Angles sum of triangle)
∠LJM
= 180° - 68° - 40°
= 72° (Angles sum of triangle)
∠HJM
= 180° - 72°
= 114° (Angles on a straight line)
(b)
∠LJK
= 360° - 114° - 72° - 114°
= 60° (Angles at a point)
∠JKL
= 180° - 60° - 60°
= 60°
Answer(s): (a) 114°; (b) 60°