In the figure, not drawn to scale, two rectangles, TUAB and ZACD overlap each other as shown. Given that TW // ZY and VY // WX.
- Find ∠y.
- Find ∠z.
(a)
∠UAC
= 90° - 74°
= 16°
∠y
= 90° - 16°
= 74°
(b)
∠UVY = ∠VWX = 120° (Corresponding angles)
∠VYZ
= 180° - 120°
=60° (Interior angles)
∠z
= 360° - 81° - 60°
= 219°
Answer(s): (a) 74°; (b) 219°