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 = 85° (Alternate angles)
∠XYW
= 85° - 47°
= 38°
(b)
∠XWY
= 180° - 94° - 38°
= 48° (Angles sum of triangle)
∠VWZ = 48° (Vertically opposite angles)
∠ WVZ
= 180° - 85° - 48°
= 47° (Angles sum of triangle)
Answer(s): (a) 38°; (b) 47°