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 ∠m.
- Find ∠n.
(a)
∠MTV
= 90° - 77°
= 13°
∠m
= 90° - 13°
= 77°
(b)
∠MNR = ∠NPQ = 124° (Corresponding angles)
∠NRS
= 180° - 124°
=56° (Interior angles)
∠n
= 360° - 89° - 56°
= 215°
Answer(s): (a) 77°; (b) 215°