In the figure, not drawn to scale, two rectangles, WXDE and CDFG overlap each other as shown. Given that WZ // CB and YB // ZA.
- Find ∠i.
- Find ∠j.
(a)
∠XDF
= 90° - 77°
= 13°
∠i
= 90° - 13°
= 77°
(b)
∠XYB = ∠YZA = 126° (Corresponding angles)
∠YBC
= 180° - 126°
=54° (Interior angles)
∠j
= 360° - 86° - 54°
= 220°
Answer(s): (a) 77°; (b) 220°