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 ∠r.
- Find ∠s.
(a)
∠HPR
= 90° - 78°
= 12°
∠r
= 90° - 12°
= 78°
(b)
∠HJM = ∠JKL = 119° (Corresponding angles)
∠JMN
= 180° - 119°
=61° (Interior angles)
∠s
= 360° - 83° - 61°
= 216°
Answer(s): (a) 78°; (b) 216°