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° - 75°
= 15°
∠j
= 90° - 15°
= 75°
(b)
∠PQT = ∠QRS = 122° (Corresponding angles)
∠QTU
= 180° - 122°
=58° (Interior angles)
∠k
= 360° - 87° - 58°
= 215°
Answer(s): (a) 75°; (b) 215°