PSLE In the figure, ABCD is a rectangle. The points F, G, and H lie on the rectangle ABCD. DEF and HEG are straight lines.
- Find ∠FGE.
- Find ∠EDH.
(a)
∠BGH = ∠DHG = 81° (Alternate angles)
∠FGE
= 81° - 48°
= 33°
(b)
∠FEG
= 180° - 88° - 33°
= 59° (Angles sum of triangle)
∠DEH = 59° (Vertically opposite angles)
∠ EDH
= 180° - 81° - 59°
= 40° (Angles sum of triangle)
Answer(s): (a) 33°; (b) 40°