PSLE In the figure, STV and XWV are straight lines and WT is parallel to VU. ∠WXS is a right angle, ∠XST = 52°, ∠STU = 111° and ∠VWT = 62°.
- Find ∠STW.
- Find ∠TUV.
(a)
∠SVX
= 180° - 90° - 52°
= 38° (Angles sum of triangle)
∠VTW
= 180° - 62° - 38°
= 80° (Angles sum of triangle)
∠STW
= 180° - 80°
= 111° (Angles on a straight line)
(b)
∠VTU
= 360° - 111° - 80° - 111°
= 58° (Angles at a point)
∠TUV
= 180° - 58° - 58°
= 64°
Answer(s): (a) 111°; (b) 64°