The figure shows a parallelogram. Find
- ∠d
- ∠c
- ∠b
(a)
∠FIG
= 180° - 39° - 70°
= 71° (Angles sum of triangle)
∠d = ∠FIG = 71° (Vertically opposite angles)
(b)
∠c = ∠FEG = 57° (Alternate angles)
(c)
∠GIF = ∠d = 71° (Vertically opposite angles)
∠b
= 71° - 57°
= 14° (Exterior angle of a triangle)
Answer(s): (a) 71°; (b) 57°; (c) 14°