PSLE HJKL is a trapezium with HJ parallel to LK. HNJ and MNL are straight lines and HM = MJ. ∠MHL = 97°.
- Find ∠HLN.
- Find ∠JMN.
(a)
∠HLN
= 180° - 97° - 23°
= 60° (Angles sum of triangle)
(b)
∠HNL
= 75° (Alternate angles)
∠JHM
= 75° - 23°
= 52° (Exterior angle of a triangle)
∠JMN
= 180° - 52° - 52° - 23°
= 53° (Angles sum of triangle)
Answer(s): (a) 60°; (b) 53°