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 ∠e.
- Find ∠f.
(a)
∠PVX
= 90° - 76°
= 14°
∠e
= 90° - 14°
= 76°
(b)
∠PQT = ∠QRS = 118° (Corresponding angles)
∠QTU
= 180° - 118°
=62° (Interior angles)
∠f
= 360° - 85° - 62°
= 213°
Answer(s): (a) 76°; (b) 213°