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 ∠s.
- Find ∠t.
(a)
∠QWY
= 90° - 79°
= 11°
∠s
= 90° - 11°
= 79°
(b)
∠QRU = ∠RST = 119° (Corresponding angles)
∠RUV
= 180° - 119°
=61° (Interior angles)
∠t
= 360° - 81° - 61°
= 218°
Answer(s): (a) 79°; (b) 218°