PSLE In the figure, STV and XWV are straight lines and WT is parallel to VU. ∠WXS is a right angle, ∠XST = 54°, ∠STU = 122° and ∠VWT = 71°.
- Find ∠STW.
- Find ∠TUV.
(a)
∠SVX
= 180° - 90° - 54°
= 36° (Angles sum of triangle)
∠VTW
= 180° - 71° - 36°
= 73° (Angles sum of triangle)
∠STW
= 180° - 73°
= 122° (Angles on a straight line)
(b)
∠VTU
= 360° - 122° - 73° - 122°
= 43° (Angles at a point)
∠TUV
= 180° - 43° - 43°
= 94°
Answer(s): (a) 122°; (b) 94°