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 ∠m.
- Find ∠n.
(a)
∠ELN
= 90° - 76°
= 14°
∠m
= 90° - 14°
= 76°
(b)
∠EFJ = ∠FGH = 122° (Corresponding angles)
∠FJK
= 180° - 122°
=58° (Interior angles)
∠n
= 360° - 81° - 58°
= 221°
Answer(s): (a) 76°; (b) 221°