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 ∠f.
- Find ∠g.
(a)
∠SYA
= 90° - 75°
= 15°
∠f
= 90° - 15°
= 75°
(b)
∠STW = ∠TUV = 125° (Corresponding angles)
∠TWX
= 180° - 125°
=55° (Interior angles)
∠g
= 360° - 84° - 55°
= 221°
Answer(s): (a) 75°; (b) 221°