The figure shows a parallelogram. Find
- ∠f
- ∠e
- ∠d
(a)
∠HKI
= 180° - 37° - 77°
= 66° (Angles sum of triangle)
∠f = ∠HKI = 66° (Vertically opposite angles)
(b)
∠e = ∠HGI = 54° (Alternate angles)
(c)
∠IKH = ∠f = 66° (Vertically opposite angles)
∠d
= 66° - 54°
= 12° (Exterior angle of a triangle)
Answer(s): (a) 66°; (b) 54°; (c) 12°