PSLE DEFG and EGHJ are rhombuses. FKG is a straight line.
- Find ∠GEK.
- Find ∠FGH.
(a)
∠EGF
= (180° - 104°) ÷2
= 76° ÷ 2
= 38° (Isosceles triangle)
∠GEK
= 180° - 125° - 38°
= 17° (Angles sum of triangle)
(b)
∠EJH
= 360° - 288°
= 72° (Angles at a point)
∠EGH = ∠EJH = 72° (Rhombus)
∠FGH
= 72° - 38°
= 34°
Answer(s): (a) 17°; (b) 34°