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 ∠w.
- Find ∠x.
(a)
∠UAC
= 90° - 74°
= 16°
∠w
= 90° - 16°
= 74°
(b)
∠UVY = ∠VWX = 118° (Corresponding angles)
∠VYZ
= 180° - 118°
=62° (Interior angles)
∠x
= 360° - 88° - 62°
= 210°
Answer(s): (a) 74°; (b) 210°