In the figure, not drawn to scale, two rectangles, CDKL and JKMN overlap each other as shown. Given that CF // JH and EH // FG.
- Find ∠y.
- Find ∠z.
(a)
∠DKM
= 90° - 78°
= 12°
∠y
= 90° - 12°
= 78°
(b)
∠DEH = ∠EFG = 122° (Corresponding angles)
∠EHJ
= 180° - 122°
=58° (Interior angles)
∠z
= 360° - 85° - 58°
= 217°
Answer(s): (a) 78°; (b) 217°