In the figure, not drawn to scale, two rectangles, RSYZ and XYAB overlap each other as shown. Given that RU // XW and TW // UV.
- Find ∠p.
- Find ∠q.
(a)
∠SYA
= 90° - 80°
= 10°
∠p
= 90° - 10°
= 80°
(b)
∠STW = ∠TUV = 122° (Corresponding angles)
∠TWX
= 180° - 122°
=58° (Interior angles)
∠q
= 360° - 86° - 58°
= 216°
Answer(s): (a) 80°; (b) 216°