The figure shows a parallelogram. Find
- ∠s
- ∠r
- ∠q
(a)
∠VYW
= 180° - 34° - 63°
= 83° (Angles sum of triangle)
∠s = ∠VYW = 83° (Vertically opposite angles)
(b)
∠r = ∠VTW = 69° (Alternate angles)
(c)
∠WYV = ∠s = 83° (Vertically opposite angles)
∠q
= 83° - 69°
= 14° (Exterior angle of a triangle)
Answer(s): (a) 83°; (b) 69°; (c) 14°