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 ∠p.
- Find ∠q.
(a)
∠TZB
= 90° - 74°
= 16°
∠p
= 90° - 16°
= 74°
(b)
∠TUX = ∠UVW = 125° (Corresponding angles)
∠UXY
= 180° - 125°
=55° (Interior angles)
∠q
= 360° - 89° - 55°
= 216°
Answer(s): (a) 74°; (b) 216°