In the figure, not drawn to scale, two rectangles, NPVW and UVXY overlap each other as shown. Given that NR // UT and QT // RS.
- Find ∠x.
- Find ∠y.
(a)
∠PVX
= 90° - 80°
= 10°
∠x
= 90° - 10°
= 80°
(b)
∠PQT = ∠QRS = 120° (Corresponding angles)
∠QTU
= 180° - 120°
=60° (Interior angles)
∠y
= 360° - 83° - 60°
= 217°
Answer(s): (a) 80°; (b) 217°