In the figure, not drawn to scale, two rectangles, STZA and YZBC overlap each other as shown. Given that SV // YX and UX // VW.
- Find ∠x.
- Find ∠y.
(a)
∠TZB
= 90° - 74°
= 16°
∠x
= 90° - 16°
= 74°
(b)
∠TUX = ∠UVW = 126° (Corresponding angles)
∠UXY
= 180° - 126°
=54° (Interior angles)
∠y
= 360° - 82° - 54°
= 224°
Answer(s): (a) 74°; (b) 224°