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 = 88° (Alternate angles)
∠UVT
= 88° - 48°
= 40°
(b)
∠UTV
= 180° - 90° - 40°
= 50° (Angles sum of triangle)
∠STW = 50° (Vertically opposite angles)
∠ TSW
= 180° - 88° - 50°
= 42° (Angles sum of triangle)
Answer(s): (a) 40°; (b) 42°