PSLE GHJK is a trapezium with GH parallel to KJ. GMH and LMK are straight lines and GL = LH. ∠LGK = 92°.
- Find ∠GKM.
- Find ∠HLM.
(a)
∠GKM
= 180° - 92° - 24°
= 64° (Angles sum of triangle)
(b)
∠GMK
= 73° (Alternate angles)
∠HGL
= 73° - 24°
= 49° (Exterior angle of a triangle)
∠HLM
= 180° - 49° - 49° - 24°
= 58° (Angles sum of triangle)
Answer(s): (a) 64°; (b) 58°