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 ∠a.
- Find ∠b.
(a)
∠VBD
= 90° - 77°
= 13°
∠a
= 90° - 13°
= 77°
(b)
∠VWZ = ∠WXY = 119° (Corresponding angles)
∠WZA
= 180° - 119°
=61° (Interior angles)
∠b
= 360° - 89° - 61°
= 210°
Answer(s): (a) 77°; (b) 210°