In the figure, not drawn to scale, two rectangles, JKRS and QRTU overlap each other as shown. Given that JM // QP and LP // MN.
- Find ∠s.
- Find ∠t.
(a)
∠KRT
= 90° - 75°
= 15°
∠s
= 90° - 15°
= 75°
(b)
∠KLP = ∠LMN = 120° (Corresponding angles)
∠LPQ
= 180° - 120°
=60° (Interior angles)
∠t
= 360° - 83° - 60°
= 217°
Answer(s): (a) 75°; (b) 217°