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 ∠f.
- Find ∠g.
(a)
∠VBD
= 90° - 78°
= 12°
∠f
= 90° - 12°
= 78°
(b)
∠VWZ = ∠WXY = 126° (Corresponding angles)
∠WZA
= 180° - 126°
=54° (Interior angles)
∠g
= 360° - 89° - 54°
= 217°
Answer(s): (a) 78°; (b) 217°