PSLEIn the figure, WXYZ is a parallelogram. WUZ and UYV are straight lines. ∠VYZ = 153°, ∠WZY = 46° and ∠WYU = 21°.
- Find ∠XYV.
- Find ∠XWY.
(a)
∠XYZ
= 180° - 46°
= 134° (Interior angles)
∠XYV
= 360° - 153° - 134°
= 73° (Angles at a point)
(b)
∠ZYU
= 180° - 153°
= 27°(Angles on a straight line)
∠XWY
= ∠WYZ
= 27° + 21°
= 48° (Alternate angles)
Answer(s): (a) 73°; (b) 48°