PSLE In the figure, TUVW is a parallelogram. RWT and SWV are straight lines and RS = ST. ∠RSW = 30° and ∠UVW = 57°.
- Find ∠VWT.
- Find ∠WST.
(a)
∠VWT
= 180° - 57°
= 123° (Interior angles)
(b)
∠RWS
= ∠VWT
= 123° (Vertically opposite angles)
∠SRW
= 180° - 123° - 30°
= 27° (Angles sum of triangle)
∠STW = ∠SRW (Isosceles triangle)
∠RST
= 180° - 27° - 27°
= 126° (Angles sum of triangle)
∠WST
= 126° - 30°
= 96°
Answer(s): (a) 123°; (b) 96°