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 ∠q.
- Find ∠r.
(a)
∠LSU
= 90° - 80°
= 10°
∠q
= 90° - 10°
= 80°
(b)
∠LMQ = ∠MNP = 124° (Corresponding angles)
∠MQR
= 180° - 124°
=56° (Interior angles)
∠r
= 360° - 81° - 56°
= 223°
Answer(s): (a) 80°; (b) 223°