PSLE In the figure, RSTU is a rectangle. The points W, X, and Y lie on the rectangle RSTU. UVW and YVX are straight lines.
- Find ∠WXV.
- Find ∠VUY.
(a)
∠SXY = ∠UYX = 85° (Alternate angles)
∠WXV
= 85° - 52°
= 33°
(b)
∠WVX
= 180° - 89° - 33°
= 58° (Angles sum of triangle)
∠UVY = 58° (Vertically opposite angles)
∠ VUY
= 180° - 85° - 58°
= 37° (Angles sum of triangle)
Answer(s): (a) 33°; (b) 37°