PSLE In the figure, HJL and NML are straight lines and MJ is parallel to LK. ∠MNH is a right angle, ∠NHJ = 51°, ∠HJK = 118° and ∠LMJ = 63°.
- Find ∠HJM.
- Find ∠JKL.
(a)
∠HLN
= 180° - 90° - 51°
= 39° (Angles sum of triangle)
∠LJM
= 180° - 63° - 39°
= 78° (Angles sum of triangle)
∠HJM
= 180° - 78°
= 118° (Angles on a straight line)
(b)
∠LJK
= 360° - 118° - 78° - 118°
= 46° (Angles at a point)
∠JKL
= 180° - 46° - 46°
= 88°
Answer(s): (a) 118°; (b) 88°