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 = 82° (Alternate angles)
∠UVT
= 82° - 52°
= 30°
(b)
∠UTV
= 180° - 89° - 30°
= 61° (Angles sum of triangle)
∠STW = 61° (Vertically opposite angles)
∠ TSW
= 180° - 82° - 61°
= 37° (Angles sum of triangle)
Answer(s): (a) 30°; (b) 37°