The figure shows a parallelogram. Find
- ∠d
- ∠c
- ∠b
(a)
∠FIG
= 180° - 36° - 70°
= 74° (Angles sum of triangle)
∠d = ∠FIG = 74° (Vertically opposite angles)
(b)
∠c = ∠FEG = 61° (Alternate angles)
(c)
∠GIF = ∠d = 74° (Vertically opposite angles)
∠b
= 74° - 61°
= 13° (Exterior angle of a triangle)
Answer(s): (a) 74°; (b) 61°; (c) 13°