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 ∠c.
- Find ∠d.
(a)
∠MTV
= 90° - 76°
= 14°
∠c
= 90° - 14°
= 76°
(b)
∠MNR = ∠NPQ = 125° (Corresponding angles)
∠NRS
= 180° - 125°
=55° (Interior angles)
∠d
= 360° - 85° - 55°
= 220°
Answer(s): (a) 76°; (b) 220°