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 = 87° (Alternate angles)
∠UVT
= 87° - 51°
= 36°
(b)
∠UTV
= 180° - 90° - 36°
= 54° (Angles sum of triangle)
∠STW = 54° (Vertically opposite angles)
∠ TSW
= 180° - 87° - 54°
= 39° (Angles sum of triangle)
Answer(s): (a) 36°; (b) 39°