The figure shows a parallelogram. Find
- ∠d
- ∠c
- ∠b
(a)
∠FIG
= 180° - 31° - 79°
= 70° (Angles sum of triangle)
∠d = ∠FIG = 70° (Vertically opposite angles)
(b)
∠c = ∠FEG = 52° (Alternate angles)
(c)
∠GIF = ∠d = 70° (Vertically opposite angles)
∠b
= 70° - 52°
= 18° (Exterior angle of a triangle)
Answer(s): (a) 70°; (b) 52°; (c) 18°