PSLE In the figure, STUV is a parallelogram. QVS and RVU are straight lines and QR = RS. ∠QRV = 30° and ∠TUV = 55°.
- Find ∠UVS.
- Find ∠VRS.
(a)
∠UVS
= 180° - 55°
= 125° (Interior angles)
(b)
∠QVR
= ∠UVS
= 125° (Vertically opposite angles)
∠RQV
= 180° - 125° - 30°
= 25° (Angles sum of triangle)
∠RSV = ∠RQV (Isosceles triangle)
∠QRS
= 180° - 25° - 25°
= 130° (Angles sum of triangle)
∠VRS
= 130° - 30°
= 100°
Answer(s): (a) 125°; (b) 100°