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 ∠n.
- Find ∠p.
(a)
∠VBD
= 90° - 75°
= 15°
∠n
= 90° - 15°
= 75°
(b)
∠VWZ = ∠WXY = 122° (Corresponding angles)
∠WZA
= 180° - 122°
=58° (Interior angles)
∠p
= 360° - 83° - 58°
= 219°
Answer(s): (a) 75°; (b) 219°