PSLE In the figure, TUVW is a parallelogram. RWT and SWV are straight lines and RS = ST. ∠RSW = 29° and ∠UVW = 59°.
- Find ∠VWT.
- Find ∠WST.
(a)
∠VWT
= 180° - 59°
= 121° (Interior angles)
(b)
∠RWS
= ∠VWT
= 121° (Vertically opposite angles)
∠SRW
= 180° - 121° - 29°
= 30° (Angles sum of triangle)
∠STW = ∠SRW (Isosceles triangle)
∠RST
= 180° - 30° - 30°
= 120° (Angles sum of triangle)
∠WST
= 120° - 29°
= 91°
Answer(s): (a) 121°; (b) 91°