In the figure, TUVW is a parallelogram and XV = XW.
- Find ∠y.
- Find ∠z.
(a)
∠TXU = ∠TUX (Isosceles triangle)
∠y
= 180° - 49° - 49° - 69°
= 13° (Interior angles)
(b)
∠TXU
= 180° - 49° - 49°
= 82° (Angles sum of triangle)
∠z
= 360° - 82°
= 278° (Angles at a point)
Answer(s): (a) 13°; (b) 278°