The figure shows a parallelogram. Find
- ∠t
- ∠s
- ∠r
(a)
∠WZX
= 180° - 37° - 74°
= 69° (Angles sum of triangle)
∠t = ∠WZX = 69° (Vertically opposite angles)
(b)
∠s = ∠WVX = 57° (Alternate angles)
(c)
∠XZW = ∠t = 69° (Vertically opposite angles)
∠r
= 69° - 57°
= 12° (Exterior angle of a triangle)
Answer(s): (a) 69°; (b) 57°; (c) 12°