In the figure, not drawn to scale, two rectangles, BCJK and HJLM overlap each other as shown. Given that BE // HG and DG // EF.
- Find ∠v.
- Find ∠w.
(a)
∠CJL
= 90° - 77°
= 13°
∠v
= 90° - 13°
= 77°
(b)
∠CDG = ∠DEF = 124° (Corresponding angles)
∠DGH
= 180° - 124°
=56° (Interior angles)
∠w
= 360° - 82° - 56°
= 222°
Answer(s): (a) 77°; (b) 222°