PSLEIn the figure, WXYZ is a parallelogram. WUZ and UYV are straight lines. ∠VYZ = 149°, ∠WZY = 43° and ∠WYU = 23°.
- Find ∠XYV.
- Find ∠XWY.
(a)
∠XYZ
= 180° - 43°
= 137° (Interior angles)
∠XYV
= 360° - 149° - 137°
= 74° (Angles at a point)
(b)
∠ZYU
= 180° - 149°
= 31°(Angles on a straight line)
∠XWY
= ∠WYZ
= 31° + 23°
= 54° (Alternate angles)
Answer(s): (a) 74°; (b) 54°