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 ∠h.
- Find ∠i.
(a)
∠UAC
= 90° - 75°
= 15°
∠h
= 90° - 15°
= 75°
(b)
∠UVY = ∠VWX = 124° (Corresponding angles)
∠VYZ
= 180° - 124°
=56° (Interior angles)
∠i
= 360° - 81° - 56°
= 223°
Answer(s): (a) 75°; (b) 223°