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 ∠e.
- Find ∠f.
(a)
∠VBD
= 90° - 79°
= 11°
∠e
= 90° - 11°
= 79°
(b)
∠VWZ = ∠WXY = 122° (Corresponding angles)
∠WZA
= 180° - 122°
=58° (Interior angles)
∠f
= 360° - 84° - 58°
= 218°
Answer(s): (a) 79°; (b) 218°