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 = 83° (Alternate angles)
∠XYW
= 83° - 47°
= 36°
(b)
∠XWY
= 180° - 91° - 36°
= 53° (Angles sum of triangle)
∠VWZ = 53° (Vertically opposite angles)
∠ WVZ
= 180° - 83° - 53°
= 44° (Angles sum of triangle)
Answer(s): (a) 36°; (b) 44°