PSLE GHJK is a rhombus. KMH and KLJN are straight lines.
- Find ∠GHK.
- Find ∠KJN.
- Find ∠KML.
(a)
∠GHK
= (180° - 108°) ÷ 2
= 36° (Isosceles triangle)
(b)
∠HJK
= ∠HGK
= 108° (Rhombus)
∠KJN
= 180° - 108°
= 72° (Angles on a straight line)
(c)
∠LHM
= ∠GHM
= 36° (Rhombus)
∠HLM
= 180° - 64°
= 116° (Angles on a straight line)
∠KML
= 36° + 116°
= 152° (Exterior angle of a triangle)
Answer(s): (a) 36° (b) 72° (c) 152°