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 ∠k.
- Find ∠m.
(a)
∠QWY
= 90° - 80°
= 10°
∠k
= 90° - 10°
= 80°
(b)
∠QRU = ∠RST = 122° (Corresponding angles)
∠RUV
= 180° - 122°
=58° (Interior angles)
∠m
= 360° - 84° - 58°
= 218°
Answer(s): (a) 80°; (b) 218°