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° - 57°
= 25°
(b)
∠XWY
= 180° - 91° - 25°
= 64° (Angles sum of triangle)
∠VWZ = 64° (Vertically opposite angles)
∠ WVZ
= 180° - 82° - 64°
= 34° (Angles sum of triangle)
Answer(s): (a) 25°; (b) 34°