PSLE In the figure, STUV is a rectangle. The points X, Y, and Z lie on the rectangle STUV. VWX and ZWY are straight lines.
- Find ∠XYW.
- Find ∠WVZ.
(a)
∠TYZ = ∠VZY = 84° (Alternate angles)
∠XYW
= 84° - 55°
= 29°
(b)
∠XWY
= 180° - 91° - 29°
= 60° (Angles sum of triangle)
∠VWZ = 60° (Vertically opposite angles)
∠ WVZ
= 180° - 84° - 60°
= 36° (Angles sum of triangle)
Answer(s): (a) 29°; (b) 36°