The figure shows a parallelogram. Find
- ∠d
- ∠c
- ∠b
(a)
∠FIG
= 180° - 34° - 63°
= 83° (Angles sum of triangle)
∠d = ∠FIG = 83° (Vertically opposite angles)
(b)
∠c = ∠FEG = 54° (Alternate angles)
(c)
∠GIF = ∠d = 83° (Vertically opposite angles)
∠b
= 83° - 54°
= 29° (Exterior angle of a triangle)
Answer(s): (a) 83°; (b) 54°; (c) 29°