PSLE In the figure, STUV is a parallelogram. QVS and RVU are straight lines and QR = RS. ∠QRV = 24° and ∠TUV = 56°.
- Find ∠UVS.
- Find ∠VRS.
(a)
∠UVS
= 180° - 56°
= 124° (Interior angles)
(b)
∠QVR
= ∠UVS
= 124° (Vertically opposite angles)
∠RQV
= 180° - 124° - 24°
= 32° (Angles sum of triangle)
∠RSV = ∠RQV (Isosceles triangle)
∠QRS
= 180° - 32° - 32°
= 116° (Angles sum of triangle)
∠VRS
= 116° - 24°
= 92°
Answer(s): (a) 124°; (b) 92°