PSLE In the figure, HJL and NML are straight lines and MJ is parallel to LK. ∠MNH is a right angle, ∠NHJ = 53°, ∠HJK = 114° and ∠LMJ = 70°.
- Find ∠HJM.
- Find ∠JKL.
(a)
∠HLN
= 180° - 90° - 53°
= 37° (Angles sum of triangle)
∠LJM
= 180° - 70° - 37°
= 73° (Angles sum of triangle)
∠HJM
= 180° - 73°
= 114° (Angles on a straight line)
(b)
∠LJK
= 360° - 114° - 73° - 114°
= 59° (Angles at a point)
∠JKL
= 180° - 59° - 59°
= 62°
Answer(s): (a) 114°; (b) 62°