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 = 85° (Alternate angles)
∠UVT
= 85° - 57°
= 28°
(b)
∠UTV
= 180° - 94° - 28°
= 58° (Angles sum of triangle)
∠STW = 58° (Vertically opposite angles)
∠ TSW
= 180° - 85° - 58°
= 37° (Angles sum of triangle)
Answer(s): (a) 28°; (b) 37°