In the figure, not drawn to scale, two rectangles, ZAGH and FGJK overlap each other as shown. Given that ZC // FE and BE // CD.
- Find ∠i.
- Find ∠j.
(a)
∠AGJ
= 90° - 77°
= 13°
∠i
= 90° - 13°
= 77°
(b)
∠ABE = ∠BCD = 124° (Corresponding angles)
∠BEF
= 180° - 124°
=56° (Interior angles)
∠j
= 360° - 84° - 56°
= 220°
Answer(s): (a) 77°; (b) 220°