In the figure, not drawn to scale, two rectangles, YZFG and EFHJ overlap each other as shown. Given that YB // ED and AD // BC.
- Find ∠v.
- Find ∠w.
(a)
∠ZFH
= 90° - 78°
= 12°
∠v
= 90° - 12°
= 78°
(b)
∠ZAD = ∠ABC = 120° (Corresponding angles)
∠ADE
= 180° - 120°
=60° (Interior angles)
∠w
= 360° - 89° - 60°
= 211°
Answer(s): (a) 78°; (b) 211°