In the figure, not drawn to scale, two rectangles, UVBC and ABDE overlap each other as shown. Given that UX // AZ and WZ // XY.
- Find ∠t.
- Find ∠v.
(a)
∠VBD
= 90° - 76°
= 14°
∠t
= 90° - 14°
= 76°
(b)
∠VWZ = ∠WXY = 120° (Corresponding angles)
∠WZA
= 180° - 120°
=60° (Interior angles)
∠v
= 360° - 85° - 60°
= 215°
Answer(s): (a) 76°; (b) 215°