The figure shows a parallelogram. Find
- ∠f
- ∠e
- ∠d
(a)
∠HKI
= 180° - 44° - 65°
= 71° (Angles sum of triangle)
∠f = ∠HKI = 71° (Vertically opposite angles)
(b)
∠e = ∠HGI = 60° (Alternate angles)
(c)
∠IKH = ∠f = 71° (Vertically opposite angles)
∠d
= 71° - 60°
= 11° (Exterior angle of a triangle)
Answer(s): (a) 71°; (b) 60°; (c) 11°