PSLE In the figure, HJL and NML are straight lines and MJ is parallel to LK. ∠MNH is a right angle, ∠NHJ = 54°, ∠HJK = 113° and ∠LMJ = 71°.
- Find ∠HJM.
- Find ∠JKL.
(a)
∠HLN
= 180° - 90° - 54°
= 36° (Angles sum of triangle)
∠LJM
= 180° - 71° - 36°
= 73° (Angles sum of triangle)
∠HJM
= 180° - 73°
= 113° (Angles on a straight line)
(b)
∠LJK
= 360° - 113° - 73° - 113°
= 61° (Angles at a point)
∠JKL
= 180° - 61° - 61°
= 58°
Answer(s): (a) 113°; (b) 58°