PSLEIn the figure, VWXY is a parallelogram. VTY and TXU are straight lines. ∠UXY = 152°, ∠VYX = 45° and ∠VXT = 17°.
- Find ∠WXU.
- Find ∠WVX.
(a)
∠WXY
= 180° - 45°
= 135° (Interior angles)
∠WXU
= 360° - 152° - 135°
= 73° (Angles at a point)
(b)
∠YXT
= 180° - 152°
= 28°(Angles on a straight line)
∠WVX
= ∠VXY
= 28° + 17°
= 45° (Alternate angles)
Answer(s): (a) 73°; (b) 45°