PSLE In the figure, DEFG is a parallelogram. BGD and CGF are straight lines and BC = CD. ∠BCG = 32° and ∠EFG = 59°.
- Find ∠FGD.
- Find ∠GCD.
(a)
∠FGD
= 180° - 59°
= 121° (Interior angles)
(b)
∠BGC
= ∠FGD
= 121° (Vertically opposite angles)
∠CBG
= 180° - 121° - 32°
= 27° (Angles sum of triangle)
∠CDG = ∠CBG (Isosceles triangle)
∠BCD
= 180° - 27° - 27°
= 126° (Angles sum of triangle)
∠GCD
= 126° - 32°
= 94°
Answer(s): (a) 121°; (b) 94°