PSLEIn the figure, VWXY is a parallelogram. VTY and TXU are straight lines. ∠UXY = 147°, ∠VYX = 45° and ∠VXT = 18°.
- Find ∠WXU.
- Find ∠WVX.
(a)
∠WXY
= 180° - 45°
= 135° (Interior angles)
∠WXU
= 360° - 147° - 135°
= 78° (Angles at a point)
(b)
∠YXT
= 180° - 147°
= 33°(Angles on a straight line)
∠WVX
= ∠VXY
= 33° + 18°
= 51° (Alternate angles)
Answer(s): (a) 78°; (b) 51°