In the figure, not drawn to scale, two rectangles, STZA and YZBC overlap each other as shown. Given that SV // YX and UX // VW.
- Find ∠y.
- Find ∠z.
(a)
∠TZB
= 90° - 76°
= 14°
∠y
= 90° - 14°
= 76°
(b)
∠TUX = ∠UVW = 119° (Corresponding angles)
∠UXY
= 180° - 119°
=61° (Interior angles)
∠z
= 360° - 87° - 61°
= 212°
Answer(s): (a) 76°; (b) 212°