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 = 87° (Alternate angles)
∠FGE
= 87° - 57°
= 30°
(b)
∠FEG
= 180° - 89° - 30°
= 61° (Angles sum of triangle)
∠DEH = 61° (Vertically opposite angles)
∠ EDH
= 180° - 87° - 61°
= 32° (Angles sum of triangle)
Answer(s): (a) 30°; (b) 32°