PSLE GHJK is a trapezium with GH parallel to KJ. GMH and LMK are straight lines and GL = LH. ∠LGK = 93°.
- Find ∠GKM.
- Find ∠HLM.
(a)
∠GKM
= 180° - 93° - 25°
= 62° (Angles sum of triangle)
(b)
∠GMK
= 68° (Alternate angles)
∠HGL
= 68° - 25°
= 43° (Exterior angle of a triangle)
∠HLM
= 180° - 43° - 43° - 25°
= 69° (Angles sum of triangle)
Answer(s): (a) 62°; (b) 69°