PSLE In the figure, TUVW is a parallelogram. RWT and SWV are straight lines and RS = ST. ∠RSW = 28° and ∠UVW = 56°.
- Find ∠VWT.
- Find ∠WST.
(a)
∠VWT
= 180° - 56°
= 124° (Interior angles)
(b)
∠RWS
= ∠VWT
= 124° (Vertically opposite angles)
∠SRW
= 180° - 124° - 28°
= 28° (Angles sum of triangle)
∠STW = ∠SRW (Isosceles triangle)
∠RST
= 180° - 28° - 28°
= 124° (Angles sum of triangle)
∠WST
= 124° - 28°
= 96°
Answer(s): (a) 124°; (b) 96°