PSLE In the figure, HJL and NML are straight lines and MJ is parallel to LK. ∠MNH is a right angle, ∠NHJ = 49°, ∠HJK = 119° and ∠LMJ = 66°.
- Find ∠HJM.
- Find ∠JKL.
(a)
∠HLN
= 180° - 90° - 49°
= 41° (Angles sum of triangle)
∠LJM
= 180° - 66° - 41°
= 73° (Angles sum of triangle)
∠HJM
= 180° - 73°
= 119° (Angles on a straight line)
(b)
∠LJK
= 360° - 119° - 73° - 119°
= 49° (Angles at a point)
∠JKL
= 180° - 49° - 49°
= 82°
Answer(s): (a) 119°; (b) 82°