In the figure, not drawn to scale, two rectangles, HJQR and PQST overlap each other as shown. Given that HL // PN and KN // LM.
- Find ∠s.
- Find ∠t.
(a)
∠JQS
= 90° - 78°
= 12°
∠s
= 90° - 12°
= 78°
(b)
∠JKN = ∠KLM = 123° (Corresponding angles)
∠KNP
= 180° - 123°
=57° (Interior angles)
∠t
= 360° - 81° - 57°
= 222°
Answer(s): (a) 78°; (b) 222°