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 ∠n.
- Find ∠p.
(a)
∠NUW
= 90° - 77°
= 13°
∠n
= 90° - 13°
= 77°
(b)
∠NPS = ∠PQR = 124° (Corresponding angles)
∠PST
= 180° - 124°
=56° (Interior angles)
∠p
= 360° - 83° - 56°
= 221°
Answer(s): (a) 77°; (b) 221°