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 ∠t.
- Find ∠v.
(a)
∠HPR
= 90° - 78°
= 12°
∠t
= 90° - 12°
= 78°
(b)
∠HJM = ∠JKL = 118° (Corresponding angles)
∠JMN
= 180° - 118°
=62° (Interior angles)
∠v
= 360° - 84° - 62°
= 214°
Answer(s): (a) 78°; (b) 214°