The figure shows a parallelogram. Find
- ∠f
- ∠e
- ∠d
(a)
∠HKI
= 180° - 32° - 80°
= 68° (Angles sum of triangle)
∠f = ∠HKI = 68° (Vertically opposite angles)
(b)
∠e = ∠HGI = 50° (Alternate angles)
(c)
∠IKH = ∠f = 68° (Vertically opposite angles)
∠d
= 68° - 50°
= 18° (Exterior angle of a triangle)
Answer(s): (a) 68°; (b) 50°; (c) 18°