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 ∠j.
- Find ∠k.
(a)
∠PVX
= 90° - 77°
= 13°
∠j
= 90° - 13°
= 77°
(b)
∠PQT = ∠QRS = 125° (Corresponding angles)
∠QTU
= 180° - 125°
=55° (Interior angles)
∠k
= 360° - 82° - 55°
= 223°
Answer(s): (a) 77°; (b) 223°