PSLEIn the figure, VWXY is a parallelogram. VTY and TXU are straight lines. ∠UXY = 147°, ∠VYX = 44° and ∠VXT = 20°.
- Find ∠WXU.
- Find ∠WVX.
(a)
∠WXY
= 180° - 44°
= 136° (Interior angles)
∠WXU
= 360° - 147° - 136°
= 77° (Angles at a point)
(b)
∠YXT
= 180° - 147°
= 33°(Angles on a straight line)
∠WVX
= ∠VXY
= 33° + 20°
= 53° (Alternate angles)
Answer(s): (a) 77°; (b) 53°