PSLE In the figure, HJL and NML are straight lines and MJ is parallel to LK. ∠MNH is a right angle, ∠NHJ = 52°, ∠HJK = 120° and ∠LMJ = 71°.
- Find ∠HJM.
- Find ∠JKL.
(a)
∠HLN
= 180° - 90° - 52°
= 38° (Angles sum of triangle)
∠LJM
= 180° - 71° - 38°
= 71° (Angles sum of triangle)
∠HJM
= 180° - 71°
= 120° (Angles on a straight line)
(b)
∠LJK
= 360° - 120° - 71° - 120°
= 49° (Angles at a point)
∠JKL
= 180° - 49° - 49°
= 82°
Answer(s): (a) 120°; (b) 82°