In the figure, TUVW is a parallelogram and XV = XW.
- Find ∠y.
- Find ∠z.
(a)
∠TXU = ∠TUX (Isosceles triangle)
∠y
= 180° - 46° - 46° - 72°
= 16° (Interior angles)
(b)
∠TXU
= 180° - 46° - 46°
= 88° (Angles sum of triangle)
∠z
= 360° - 88°
= 272° (Angles at a point)
Answer(s): (a) 16°; (b) 272°