PSLEIn the figure, UVWX is a parallelogram. USX and SWT are straight lines. ∠TWX = 153°, ∠UXW = 45° and ∠UWS = 20°.
- Find ∠VWT.
- Find ∠VUW.
(a)
∠VWX
= 180° - 45°
= 135° (Interior angles)
∠VWT
= 360° - 153° - 135°
= 72° (Angles at a point)
(b)
∠XWS
= 180° - 153°
= 27°(Angles on a straight line)
∠VUW
= ∠UWX
= 27° + 20°
= 47° (Alternate angles)
Answer(s): (a) 72°; (b) 47°