In the figure, not drawn to scale, two rectangles, WXDE and CDFG overlap each other as shown. Given that WZ // CB and YB // ZA.
- Find ∠t.
- Find ∠v.
(a)
∠XDF
= 90° - 75°
= 15°
∠t
= 90° - 15°
= 75°
(b)
∠XYB = ∠YZA = 126° (Corresponding angles)
∠YBC
= 180° - 126°
=54° (Interior angles)
∠v
= 360° - 83° - 54°
= 223°
Answer(s): (a) 75°; (b) 223°