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 ∠y.
- Find ∠z.
(a)
∠LSU
= 90° - 74°
= 16°
∠y
= 90° - 16°
= 74°
(b)
∠LMQ = ∠MNP = 121° (Corresponding angles)
∠MQR
= 180° - 121°
=59° (Interior angles)
∠z
= 360° - 83° - 59°
= 218°
Answer(s): (a) 74°; (b) 218°