The figure shows a parallelogram. Find
- ∠f
- ∠e
- ∠d
(a)
∠HKI
= 180° - 37° - 67°
= 76° (Angles sum of triangle)
∠f = ∠HKI = 76° (Vertically opposite angles)
(b)
∠e = ∠HGI = 55° (Alternate angles)
(c)
∠IKH = ∠f = 76° (Vertically opposite angles)
∠d
= 76° - 55°
= 21° (Exterior angle of a triangle)
Answer(s): (a) 76°; (b) 55°; (c) 21°