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 ∠x.
- Find ∠y.
(a)
∠SYA
= 90° - 78°
= 12°
∠x
= 90° - 12°
= 78°
(b)
∠STW = ∠TUV = 124° (Corresponding angles)
∠TWX
= 180° - 124°
=56° (Interior angles)
∠y
= 360° - 89° - 56°
= 215°
Answer(s): (a) 78°; (b) 215°