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 = 82° (Alternate angles)
∠XYW
= 82° - 54°
= 28°
(b)
∠XWY
= 180° - 93° - 28°
= 59° (Angles sum of triangle)
∠VWZ = 59° (Vertically opposite angles)
∠ WVZ
= 180° - 82° - 59°
= 39° (Angles sum of triangle)
Answer(s): (a) 28°; (b) 39°