PSLE GHJK is a rhombus. KMH and KLJN are straight lines.
- Find ∠GHK.
- Find ∠KJN.
- Find ∠KML.
(a)
∠GHK
= (180° - 100°) ÷ 2
= 40° (Isosceles triangle)
(b)
∠HJK
= ∠HGK
= 100° (Rhombus)
∠KJN
= 180° - 100°
= 80° (Angles on a straight line)
(c)
∠LHM
= ∠GHM
= 40° (Rhombus)
∠HLM
= 180° - 63°
= 117° (Angles on a straight line)
∠KML
= 40° + 117°
= 157° (Exterior angle of a triangle)
Answer(s): (a) 40° (b) 80° (c) 157°