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° - 50°
= 37°
(b)
∠UTV
= 180° - 94° - 37°
= 49° (Angles sum of triangle)
∠STW = 49° (Vertically opposite angles)
∠ TSW
= 180° - 87° - 49°
= 44° (Angles sum of triangle)
Answer(s): (a) 37°; (b) 44°