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 = 86° (Alternate angles)
∠XYW
= 86° - 47°
= 39°
(b)
∠XWY
= 180° - 92° - 39°
= 49° (Angles sum of triangle)
∠VWZ = 49° (Vertically opposite angles)
∠ WVZ
= 180° - 86° - 49°
= 45° (Angles sum of triangle)
Answer(s): (a) 39°; (b) 45°