In the figure, not drawn to scale, two rectangles, TUAB and ZACD overlap each other as shown. Given that TW // ZY and VY // WX.
- Find ∠c.
- Find ∠d.
(a)
∠UAC
= 90° - 76°
= 14°
∠c
= 90° - 14°
= 76°
(b)
∠UVY = ∠VWX = 126° (Corresponding angles)
∠VYZ
= 180° - 126°
=54° (Interior angles)
∠d
= 360° - 85° - 54°
= 221°
Answer(s): (a) 76°; (b) 221°