The figure shows a parallelogram. Find
- ∠s
- ∠r
- ∠q
(a)
∠VYW
= 180° - 31° - 65°
= 84° (Angles sum of triangle)
∠s = ∠VYW = 84° (Vertically opposite angles)
(b)
∠r = ∠VTW = 61° (Alternate angles)
(c)
∠WYV = ∠s = 84° (Vertically opposite angles)
∠q
= 84° - 61°
= 23° (Exterior angle of a triangle)
Answer(s): (a) 84°; (b) 61°; (c) 23°