PSLE In the figure, STV and XWV are straight lines and WT is parallel to VU. ∠WXS is a right angle, ∠XST = 48°, ∠STU = 120° and ∠VWT = 72°.
- Find ∠STW.
- Find ∠TUV.
(a)
∠SVX
= 180° - 90° - 48°
= 42° (Angles sum of triangle)
∠VTW
= 180° - 72° - 42°
= 66° (Angles sum of triangle)
∠STW
= 180° - 66°
= 120° (Angles on a straight line)
(b)
∠VTU
= 360° - 120° - 66° - 120°
= 54° (Angles at a point)
∠TUV
= 180° - 54° - 54°
= 72°
Answer(s): (a) 120°; (b) 72°