PSLE HJKL is a trapezium with HJ parallel to LK. HNJ and MNL are straight lines and HM = MJ. ∠MHL = 98°.
- Find ∠HLN.
- Find ∠JMN.
(a)
∠HLN
= 180° - 98° - 27°
= 55° (Angles sum of triangle)
(b)
∠HNL
= 69° (Alternate angles)
∠JHM
= 69° - 27°
= 42° (Exterior angle of a triangle)
∠JMN
= 180° - 42° - 42° - 27°
= 69° (Angles sum of triangle)
Answer(s): (a) 55°; (b) 69°