PSLE In the figure, HJL and NML are straight lines and MJ is parallel to LK. ∠MNH is a right angle, ∠NHJ = 48°, ∠HJK = 116° and ∠LMJ = 62°.
- Find ∠HJM.
- Find ∠JKL.
(a)
∠HLN
= 180° - 90° - 48°
= 42° (Angles sum of triangle)
∠LJM
= 180° - 62° - 42°
= 76° (Angles sum of triangle)
∠HJM
= 180° - 76°
= 116° (Angles on a straight line)
(b)
∠LJK
= 360° - 116° - 76° - 116°
= 52° (Angles at a point)
∠JKL
= 180° - 52° - 52°
= 76°
Answer(s): (a) 116°; (b) 76°