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 ∠a.
- Find ∠b.
(a)
∠BHK
= 90° - 75°
= 15°
∠a
= 90° - 15°
= 75°
(b)
∠BCF = ∠CDE = 120° (Corresponding angles)
∠CFG
= 180° - 120°
=60° (Interior angles)
∠b
= 360° - 89° - 60°
= 211°
Answer(s): (a) 75°; (b) 211°