In the figure, not drawn to scale, two rectangles, XYEF and DEGH overlap each other as shown. Given that XA // DC and ZC // AB.
- Find ∠k.
- Find ∠m.
(a)
∠YEG
= 90° - 75°
= 15°
∠k
= 90° - 15°
= 75°
(b)
∠YZC = ∠ZAB = 121° (Corresponding angles)
∠ZCD
= 180° - 121°
=59° (Interior angles)
∠m
= 360° - 83° - 59°
= 218°
Answer(s): (a) 75°; (b) 218°