PSLEIn the figure, VWXY is a parallelogram. VTY and TXU are straight lines. ∠UXY = 153°, ∠VYX = 44° and ∠VXT = 19°.
- Find ∠WXU.
- Find ∠WVX.
(a)
∠WXY
= 180° - 44°
= 136° (Interior angles)
∠WXU
= 360° - 153° - 136°
= 71° (Angles at a point)
(b)
∠YXT
= 180° - 153°
= 27°(Angles on a straight line)
∠WVX
= ∠VXY
= 27° + 19°
= 46° (Alternate angles)
Answer(s): (a) 71°; (b) 46°