The figure shows a parallelogram. Find
- ∠f
- ∠e
- ∠d
(a)
∠HKI
= 180° - 35° - 65°
= 80° (Angles sum of triangle)
∠f = ∠HKI = 80° (Vertically opposite angles)
(b)
∠e = ∠HGI = 65° (Alternate angles)
(c)
∠IKH = ∠f = 80° (Vertically opposite angles)
∠d
= 80° - 65°
= 15° (Exterior angle of a triangle)
Answer(s): (a) 80°; (b) 65°; (c) 15°