PSLE In the figure, HJL and NML are straight lines and MJ is parallel to LK. ∠MNH is a right angle, ∠NHJ = 52°, ∠HJK = 117° and ∠LMJ = 66°.
- Find ∠HJM.
- Find ∠JKL.
(a)
∠HLN
= 180° - 90° - 52°
= 38° (Angles sum of triangle)
∠LJM
= 180° - 66° - 38°
= 76° (Angles sum of triangle)
∠HJM
= 180° - 76°
= 117° (Angles on a straight line)
(b)
∠LJK
= 360° - 117° - 76° - 117°
= 50° (Angles at a point)
∠JKL
= 180° - 50° - 50°
= 80°
Answer(s): (a) 117°; (b) 80°