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 ∠f.
- Find ∠g.
(a)
∠NUW
= 90° - 79°
= 11°
∠f
= 90° - 11°
= 79°
(b)
∠NPS = ∠PQR = 122° (Corresponding angles)
∠PST
= 180° - 122°
=58° (Interior angles)
∠g
= 360° - 83° - 58°
= 219°
Answer(s): (a) 79°; (b) 219°