PSLE GHJK is a trapezium with GH parallel to KJ. GMH and LMK are straight lines and GL = LH. ∠LGK = 95°.
- Find ∠GKM.
- Find ∠HLM.
(a)
∠GKM
= 180° - 95° - 23°
= 62° (Angles sum of triangle)
(b)
∠GMK
= 75° (Alternate angles)
∠HGL
= 75° - 23°
= 52° (Exterior angle of a triangle)
∠HLM
= 180° - 52° - 52° - 23°
= 53° (Angles sum of triangle)
Answer(s): (a) 62°; (b) 53°