PSLE GHJK is a rhombus. KMH and KLJN are straight lines.
- Find ∠GHK.
- Find ∠KJN.
- Find ∠KML.
(a)
∠GHK
= (180° - 110°) ÷ 2
= 35° (Isosceles triangle)
(b)
∠HJK
= ∠HGK
= 110° (Rhombus)
∠KJN
= 180° - 110°
= 70° (Angles on a straight line)
(c)
∠LHM
= ∠GHM
= 35° (Rhombus)
∠HLM
= 180° - 71°
= 109° (Angles on a straight line)
∠KML
= 35° + 109°
= 144° (Exterior angle of a triangle)
Answer(s): (a) 35° (b) 70° (c) 144°