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 ∠y.
- Find ∠z.
(a)
∠HPR
= 90° - 75°
= 15°
∠y
= 90° - 15°
= 75°
(b)
∠HJM = ∠JKL = 122° (Corresponding angles)
∠JMN
= 180° - 122°
=58° (Interior angles)
∠z
= 360° - 88° - 58°
= 214°
Answer(s): (a) 75°; (b) 214°