PSLEIn the figure, UVWX is a parallelogram. USX and SWT are straight lines. ∠TWX = 149°, ∠UXW = 44° and ∠UWS = 18°.
- Find ∠VWT.
- Find ∠VUW.
(a)
∠VWX
= 180° - 44°
= 136° (Interior angles)
∠VWT
= 360° - 149° - 136°
= 75° (Angles at a point)
(b)
∠XWS
= 180° - 149°
= 31°(Angles on a straight line)
∠VUW
= ∠UWX
= 31° + 18°
= 49° (Alternate angles)
Answer(s): (a) 75°; (b) 49°