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 ∠a.
- Find ∠b.
(a)
∠SYA
= 90° - 75°
= 15°
∠a
= 90° - 15°
= 75°
(b)
∠STW = ∠TUV = 124° (Corresponding angles)
∠TWX
= 180° - 124°
=56° (Interior angles)
∠b
= 360° - 87° - 56°
= 217°
Answer(s): (a) 75°; (b) 217°