In the figure, not drawn to scale, two rectangles, PQWX and VWYZ overlap each other as shown. Given that PS // VU and RU // ST.
- Find ∠q.
- Find ∠r.
(a)
∠QWY
= 90° - 79°
= 11°
∠q
= 90° - 11°
= 79°
(b)
∠QRU = ∠RST = 118° (Corresponding angles)
∠RUV
= 180° - 118°
=62° (Interior angles)
∠r
= 360° - 81° - 62°
= 217°
Answer(s): (a) 79°; (b) 217°