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 ∠b.
- Find ∠c.
(a)
∠NUW
= 90° - 76°
= 14°
∠b
= 90° - 14°
= 76°
(b)
∠NPS = ∠PQR = 119° (Corresponding angles)
∠PST
= 180° - 119°
=61° (Interior angles)
∠c
= 360° - 86° - 61°
= 213°
Answer(s): (a) 76°; (b) 213°