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 ∠b.
- Find ∠c.
(a)
∠ZFH
= 90° - 80°
= 10°
∠b
= 90° - 10°
= 80°
(b)
∠ZAD = ∠ABC = 119° (Corresponding angles)
∠ADE
= 180° - 119°
=61° (Interior angles)
∠c
= 360° - 83° - 61°
= 216°
Answer(s): (a) 80°; (b) 216°