PSLE DEFG is a rhombus. GJE and GHFK are straight lines.
- Find ∠DEG.
- Find ∠GFK.
- Find ∠GJH.
(a)
∠DEG
= (180° - 104°) ÷ 2
= 38° (Isosceles triangle)
(b)
∠EFG
= ∠EDG
= 104° (Rhombus)
∠GFK
= 180° - 104°
= 76° (Angles on a straight line)
(c)
∠HEJ
= ∠DEJ
= 38° (Rhombus)
∠EHJ
= 180° - 64°
= 116° (Angles on a straight line)
∠GJH
= 38° + 116°
= 154° (Exterior angle of a triangle)
Answer(s): (a) 38° (b) 76° (c) 154°