PSLE HJKL is a trapezium with HJ parallel to LK. HNJ and MNL are straight lines and HM = MJ. ∠MHL = 96°.
- Find ∠HLN.
- Find ∠JMN.
(a)
∠HLN
= 180° - 96° - 30°
= 54° (Angles sum of triangle)
(b)
∠HNL
= 71° (Alternate angles)
∠JHM
= 71° - 30°
= 41° (Exterior angle of a triangle)
∠JMN
= 180° - 41° - 41° - 30°
= 68° (Angles sum of triangle)
Answer(s): (a) 54°; (b) 68°