PSLE In the figure, QRST is a rectangle. The points V, W, and X lie on the rectangle QRST. TUV and XUW are straight lines.
- Find ∠VWU.
- Find ∠UTX.
(a)
∠RWX = ∠TXW = 83° (Alternate angles)
∠VWU
= 83° - 54°
= 29°
(b)
∠VUW
= 180° - 90° - 29°
= 61° (Angles sum of triangle)
∠TUX = 61° (Vertically opposite angles)
∠ UTX
= 180° - 83° - 61°
= 36° (Angles sum of triangle)
Answer(s): (a) 29°; (b) 36°