PSLE In the figure, HJL and NML are straight lines and MJ is parallel to LK. ∠MNH is a right angle, ∠NHJ = 53°, ∠HJK = 115° and ∠LMJ = 71°.
- Find ∠HJM.
- Find ∠JKL.
(a)
∠HLN
= 180° - 90° - 53°
= 37° (Angles sum of triangle)
∠LJM
= 180° - 71° - 37°
= 72° (Angles sum of triangle)
∠HJM
= 180° - 72°
= 115° (Angles on a straight line)
(b)
∠LJK
= 360° - 115° - 72° - 115°
= 58° (Angles at a point)
∠JKL
= 180° - 58° - 58°
= 64°
Answer(s): (a) 115°; (b) 64°