In the figure, not drawn to scale, two rectangles, KLST and RSUV overlap each other as shown. Given that KN // RQ and MQ // NP.
- Find ∠x.
- Find ∠y.
(a)
∠LSU
= 90° - 80°
= 10°
∠x
= 90° - 10°
= 80°
(b)
∠LMQ = ∠MNP = 125° (Corresponding angles)
∠MQR
= 180° - 125°
=55° (Interior angles)
∠y
= 360° - 84° - 55°
= 221°
Answer(s): (a) 80°; (b) 221°