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 ∠s.
- Find ∠t.
(a)
∠SYA
= 90° - 75°
= 15°
∠s
= 90° - 15°
= 75°
(b)
∠STW = ∠TUV = 122° (Corresponding angles)
∠TWX
= 180° - 122°
=58° (Interior angles)
∠t
= 360° - 85° - 58°
= 217°
Answer(s): (a) 75°; (b) 217°