PSLEIn the figure, WXYZ is a parallelogram. WUZ and UYV are straight lines. ∠VYZ = 151°, ∠WZY = 48° and ∠WYU = 23°.
- Find ∠XYV.
- Find ∠XWY.
(a)
∠XYZ
= 180° - 48°
= 132° (Interior angles)
∠XYV
= 360° - 151° - 132°
= 77° (Angles at a point)
(b)
∠ZYU
= 180° - 151°
= 29°(Angles on a straight line)
∠XWY
= ∠WYZ
= 29° + 23°
= 52° (Alternate angles)
Answer(s): (a) 77°; (b) 52°