The figure shows a parallelogram. Find
- ∠r
- ∠q
- ∠p
(a)
∠TXV
= 180° - 32° - 65°
= 83° (Angles sum of triangle)
∠r = ∠TXV = 83° (Vertically opposite angles)
(b)
∠q = ∠TSV = 53° (Alternate angles)
(c)
∠VXT = ∠r = 83° (Vertically opposite angles)
∠p
= 83° - 53°
= 30° (Exterior angle of a triangle)
Answer(s): (a) 83°; (b) 53°; (c) 30°