PSLE HJKL is a trapezium with HJ parallel to LK. HNJ and MNL are straight lines and HM = MJ. ∠MHL = 94°.
- Find ∠HLN.
- Find ∠JMN.
(a)
∠HLN
= 180° - 94° - 22°
= 64° (Angles sum of triangle)
(b)
∠HNL
= 72° (Alternate angles)
∠JHM
= 72° - 22°
= 50° (Exterior angle of a triangle)
∠JMN
= 180° - 50° - 50° - 22°
= 58° (Angles sum of triangle)
Answer(s): (a) 64°; (b) 58°