PSLEIn the figure, WXYZ is a parallelogram. WUZ and UYV are straight lines. ∠VYZ = 149°, ∠WZY = 48° and ∠WYU = 17°.
- Find ∠XYV.
- Find ∠XWY.
(a)
∠XYZ
= 180° - 48°
= 132° (Interior angles)
∠XYV
= 360° - 149° - 132°
= 79° (Angles at a point)
(b)
∠ZYU
= 180° - 149°
= 31°(Angles on a straight line)
∠XWY
= ∠WYZ
= 31° + 17°
= 48° (Alternate angles)
Answer(s): (a) 79°; (b) 48°