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 ∠w.
- Find ∠x.
(a)
∠PVX
= 90° - 76°
= 14°
∠w
= 90° - 14°
= 76°
(b)
∠PQT = ∠QRS = 124° (Corresponding angles)
∠QTU
= 180° - 124°
=56° (Interior angles)
∠x
= 360° - 82° - 56°
= 222°
Answer(s): (a) 76°; (b) 222°