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 ∠e.
- Find ∠f.
(a)
∠JQS
= 90° - 75°
= 15°
∠e
= 90° - 15°
= 75°
(b)
∠JKN = ∠KLM = 122° (Corresponding angles)
∠KNP
= 180° - 122°
=58° (Interior angles)
∠f
= 360° - 87° - 58°
= 215°
Answer(s): (a) 75°; (b) 215°