PSLEIn the figure, UVWX is a parallelogram. USX and SWT are straight lines. ∠TWX = 152°, ∠UXW = 43° and ∠UWS = 23°.
- Find ∠VWT.
- Find ∠VUW.
(a)
∠VWX
= 180° - 43°
= 137° (Interior angles)
∠VWT
= 360° - 152° - 137°
= 71° (Angles at a point)
(b)
∠XWS
= 180° - 152°
= 28°(Angles on a straight line)
∠VUW
= ∠UWX
= 28° + 23°
= 51° (Alternate angles)
Answer(s): (a) 71°; (b) 51°