PSLE GHJK is a rhombus. KMH and KLJN are straight lines.
- Find ∠GHK.
- Find ∠KJN.
- Find ∠KML.
(a)
∠GHK
= (180° - 102°) ÷ 2
= 39° (Isosceles triangle)
(b)
∠HJK
= ∠HGK
= 102° (Rhombus)
∠KJN
= 180° - 102°
= 78° (Angles on a straight line)
(c)
∠LHM
= ∠GHM
= 39° (Rhombus)
∠HLM
= 180° - 70°
= 110° (Angles on a straight line)
∠KML
= 39° + 110°
= 149° (Exterior angle of a triangle)
Answer(s): (a) 39° (b) 78° (c) 149°