In the figure, QRST is a parallelogram and US = UT.
- Find ∠v.
- Find ∠w.
(a)
∠QUR = ∠QRU (Isosceles triangle)
∠v
= 180° - 42° - 42° - 72°
= 24° (Interior angles)
(b)
∠QUR
= 180° - 42° - 42°
= 96° (Angles sum of triangle)
∠w
= 360° - 96°
= 264° (Angles at a point)
Answer(s): (a) 24°; (b) 264°