In the figure, QRST is a parallelogram and US = UT.
- Find ∠v.
- Find ∠w.
(a)
∠QUR = ∠QRU (Isosceles triangle)
∠v
= 180° - 45° - 45° - 70°
= 20° (Interior angles)
(b)
∠QUR
= 180° - 45° - 45°
= 90° (Angles sum of triangle)
∠w
= 360° - 90°
= 270° (Angles at a point)
Answer(s): (a) 20°; (b) 270°