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 ∠t.
- Find ∠v.
(a)
∠LSU
= 90° - 79°
= 11°
∠t
= 90° - 11°
= 79°
(b)
∠LMQ = ∠MNP = 119° (Corresponding angles)
∠MQR
= 180° - 119°
=61° (Interior angles)
∠v
= 360° - 87° - 61°
= 212°
Answer(s): (a) 79°; (b) 212°