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 ∠y.
- Find ∠z.
(a)
∠QWY
= 90° - 79°
= 11°
∠y
= 90° - 11°
= 79°
(b)
∠QRU = ∠RST = 121° (Corresponding angles)
∠RUV
= 180° - 121°
=59° (Interior angles)
∠z
= 360° - 87° - 59°
= 214°
Answer(s): (a) 79°; (b) 214°