In the figure, not drawn to scale, two rectangles, GHPQ and NPRS overlap each other as shown. Given that GK // NM and JM // KL.
- Find ∠e.
- Find ∠f.
(a)
∠HPR
= 90° - 75°
= 15°
∠e
= 90° - 15°
= 75°
(b)
∠HJM = ∠JKL = 126° (Corresponding angles)
∠JMN
= 180° - 126°
=54° (Interior angles)
∠f
= 360° - 81° - 54°
= 225°
Answer(s): (a) 75°; (b) 225°