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° - 77°
= 13°
∠f
= 90° - 13°
= 77°
(b)
∠NPS = ∠PQR = 119° (Corresponding angles)
∠PST
= 180° - 119°
=61° (Interior angles)
∠g
= 360° - 88° - 61°
= 211°
Answer(s): (a) 77°; (b) 211°