In the figure, not drawn to scale, two rectangles, DELM and KLNP overlap each other as shown. Given that DG // KJ and FJ // GH.
- Find ∠v.
- Find ∠w.
(a)
∠ELN
= 90° - 75°
= 15°
∠v
= 90° - 15°
= 75°
(b)
∠EFJ = ∠FGH = 124° (Corresponding angles)
∠FJK
= 180° - 124°
=56° (Interior angles)
∠w
= 360° - 86° - 56°
= 218°
Answer(s): (a) 75°; (b) 218°