PSLE HJKL is a trapezium with HJ parallel to LK. HNJ and MNL are straight lines and HM = MJ. ∠MHL = 91°.
- Find ∠HLN.
- Find ∠JMN.
(a)
∠HLN
= 180° - 91° - 30°
= 59° (Angles sum of triangle)
(b)
∠HNL
= 68° (Alternate angles)
∠JHM
= 68° - 30°
= 38° (Exterior angle of a triangle)
∠JMN
= 180° - 38° - 38° - 30°
= 74° (Angles sum of triangle)
Answer(s): (a) 59°; (b) 74°