PSLE In the figure, STV and XWV are straight lines and WT is parallel to VU. ∠WXS is a right angle, ∠XST = 51°, ∠STU = 118° and ∠VWT = 68°.
- Find ∠STW.
- Find ∠TUV.
(a)
∠SVX
= 180° - 90° - 51°
= 39° (Angles sum of triangle)
∠VTW
= 180° - 68° - 39°
= 73° (Angles sum of triangle)
∠STW
= 180° - 73°
= 118° (Angles on a straight line)
(b)
∠VTU
= 360° - 118° - 73° - 118°
= 51° (Angles at a point)
∠TUV
= 180° - 51° - 51°
= 78°
Answer(s): (a) 118°; (b) 78°