PSLE In the figure, PQRS is a rectangle. The points U, V, and W lie on the rectangle PQRS. STU and WTV are straight lines.
- Find ∠UVT.
- Find ∠TSW.
(a)
∠QVW = ∠SWV = 83° (Alternate angles)
∠UVT
= 83° - 52°
= 31°
(b)
∠UTV
= 180° - 94° - 31°
= 55° (Angles sum of triangle)
∠STW = 55° (Vertically opposite angles)
∠ TSW
= 180° - 83° - 55°
= 42° (Angles sum of triangle)
Answer(s): (a) 31°; (b) 42°