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 ∠d.
- Find ∠e.
(a)
∠CJL
= 90° - 75°
= 15°
∠d
= 90° - 15°
= 75°
(b)
∠CDG = ∠DEF = 118° (Corresponding angles)
∠DGH
= 180° - 118°
=62° (Interior angles)
∠e
= 360° - 81° - 62°
= 217°
Answer(s): (a) 75°; (b) 217°