PSLE In the figure, TUVW is a parallelogram. RWT and SWV are straight lines and RS = ST. ∠RSW = 32° and ∠UVW = 58°.
- Find ∠VWT.
- Find ∠WST.
(a)
∠VWT
= 180° - 58°
= 122° (Interior angles)
(b)
∠RWS
= ∠VWT
= 122° (Vertically opposite angles)
∠SRW
= 180° - 122° - 32°
= 26° (Angles sum of triangle)
∠STW = ∠SRW (Isosceles triangle)
∠RST
= 180° - 26° - 26°
= 128° (Angles sum of triangle)
∠WST
= 128° - 32°
= 96°
Answer(s): (a) 122°; (b) 96°