PSLEIn the figure, UVWX is a parallelogram. USX and SWT are straight lines. ∠TWX = 147°, ∠UXW = 47° and ∠UWS = 17°.
- Find ∠VWT.
- Find ∠VUW.
(a)
∠VWX
= 180° - 47°
= 133° (Interior angles)
∠VWT
= 360° - 147° - 133°
= 80° (Angles at a point)
(b)
∠XWS
= 180° - 147°
= 33°(Angles on a straight line)
∠VUW
= ∠UWX
= 33° + 17°
= 50° (Alternate angles)
Answer(s): (a) 80°; (b) 50°