PSLE In the figure, STV and XWV are straight lines and WT is parallel to VU. ∠WXS is a right angle, ∠XST = 50°, ∠STU = 124° and ∠VWT = 63°.
- Find ∠STW.
- Find ∠TUV.
(a)
∠SVX
= 180° - 90° - 50°
= 40° (Angles sum of triangle)
∠VTW
= 180° - 63° - 40°
= 77° (Angles sum of triangle)
∠STW
= 180° - 77°
= 124° (Angles on a straight line)
(b)
∠VTU
= 360° - 124° - 77° - 124°
= 35° (Angles at a point)
∠TUV
= 180° - 35° - 35°
= 110°
Answer(s): (a) 124°; (b) 110°