In the figure, not drawn to scale, two rectangles, ABHJ and GHKL overlap each other as shown. Given that AD // GF and CF // DE.
- Find ∠i.
- Find ∠j.
(a)
∠BHK
= 90° - 79°
= 11°
∠i
= 90° - 11°
= 79°
(b)
∠BCF = ∠CDE = 121° (Corresponding angles)
∠CFG
= 180° - 121°
=59° (Interior angles)
∠j
= 360° - 85° - 59°
= 216°
Answer(s): (a) 79°; (b) 216°