The figure shows a parallelogram. Find
- ∠f
- ∠e
- ∠d
(a)
∠HKI
= 180° - 44° - 63°
= 73° (Angles sum of triangle)
∠f = ∠HKI = 73° (Vertically opposite angles)
(b)
∠e = ∠HGI = 57° (Alternate angles)
(c)
∠IKH = ∠f = 73° (Vertically opposite angles)
∠d
= 73° - 57°
= 16° (Exterior angle of a triangle)
Answer(s): (a) 73°; (b) 57°; (c) 16°