The figure shows a parallelogram. Find
- ∠c
- ∠b
- ∠a
(a)
∠EHF
= 180° - 45° - 64°
= 71° (Angles sum of triangle)
∠c = ∠EHF = 71° (Vertically opposite angles)
(b)
∠b = ∠EDF = 58° (Alternate angles)
(c)
∠FHE = ∠c = 71° (Vertically opposite angles)
∠a
= 71° - 58°
= 13° (Exterior angle of a triangle)
Answer(s): (a) 71°; (b) 58°; (c) 13°