In the figure, not drawn to scale, two rectangles, MNUV and TUWX overlap each other as shown. Given that MQ // TS and PS // QR.
- Find ∠e.
- Find ∠f.
(a)
∠NUW
= 90° - 76°
= 14°
∠e
= 90° - 14°
= 76°
(b)
∠NPS = ∠PQR = 122° (Corresponding angles)
∠PST
= 180° - 122°
=58° (Interior angles)
∠f
= 360° - 88° - 58°
= 214°
Answer(s): (a) 76°; (b) 214°