PSLE In the figure, HJL and NML are straight lines and MJ is parallel to LK. ∠MNH is a right angle, ∠NHJ = 51°, ∠HJK = 121° and ∠LMJ = 64°.
- Find ∠HJM.
- Find ∠JKL.
(a)
∠HLN
= 180° - 90° - 51°
= 39° (Angles sum of triangle)
∠LJM
= 180° - 64° - 39°
= 77° (Angles sum of triangle)
∠HJM
= 180° - 77°
= 121° (Angles on a straight line)
(b)
∠LJK
= 360° - 121° - 77° - 121°
= 41° (Angles at a point)
∠JKL
= 180° - 41° - 41°
= 98°
Answer(s): (a) 121°; (b) 98°