In the figure, not drawn to scale, two rectangles, LMTU and STVW overlap each other as shown. Given that LP // SR and NR // PQ.
- Find ∠t.
- Find ∠v.
(a)
∠MTV
= 90° - 74°
= 16°
∠t
= 90° - 16°
= 74°
(b)
∠MNR = ∠NPQ = 119° (Corresponding angles)
∠NRS
= 180° - 119°
=61° (Interior angles)
∠v
= 360° - 82° - 61°
= 217°
Answer(s): (a) 74°; (b) 217°