PSLE HJKL is a trapezium with HJ parallel to LK. HNJ and MNL are straight lines and HM = MJ. ∠MHL = 99°.
- Find ∠HLN.
- Find ∠JMN.
(a)
∠HLN
= 180° - 99° - 23°
= 58° (Angles sum of triangle)
(b)
∠HNL
= 74° (Alternate angles)
∠JHM
= 74° - 23°
= 51° (Exterior angle of a triangle)
∠JMN
= 180° - 51° - 51° - 23°
= 55° (Angles sum of triangle)
Answer(s): (a) 58°; (b) 55°