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 ∠j.
- Find ∠k.
(a)
∠LSU
= 90° - 79°
= 11°
∠j
= 90° - 11°
= 79°
(b)
∠LMQ = ∠MNP = 121° (Corresponding angles)
∠MQR
= 180° - 121°
=59° (Interior angles)
∠k
= 360° - 86° - 59°
= 215°
Answer(s): (a) 79°; (b) 215°