PSLEIn the figure, VWXY is a parallelogram. VTY and TXU are straight lines. ∠UXY = 148°, ∠VYX = 46° and ∠VXT = 19°.
- Find ∠WXU.
- Find ∠WVX.
(a)
∠WXY
= 180° - 46°
= 134° (Interior angles)
∠WXU
= 360° - 148° - 134°
= 78° (Angles at a point)
(b)
∠YXT
= 180° - 148°
= 32°(Angles on a straight line)
∠WVX
= ∠VXY
= 32° + 19°
= 51° (Alternate angles)
Answer(s): (a) 78°; (b) 51°