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 ∠q.
- Find ∠r.
(a)
∠HPR
= 90° - 76°
= 14°
∠q
= 90° - 14°
= 76°
(b)
∠HJM = ∠JKL = 121° (Corresponding angles)
∠JMN
= 180° - 121°
=59° (Interior angles)
∠r
= 360° - 87° - 59°
= 214°
Answer(s): (a) 76°; (b) 214°