PSLEIn the figure, WXYZ is a parallelogram. WUZ and UYV are straight lines. ∠VYZ = 148°, ∠WZY = 45° and ∠WYU = 21°.
- Find ∠XYV.
- Find ∠XWY.
(a)
∠XYZ
= 180° - 45°
= 135° (Interior angles)
∠XYV
= 360° - 148° - 135°
= 77° (Angles at a point)
(b)
∠ZYU
= 180° - 148°
= 32°(Angles on a straight line)
∠XWY
= ∠WYZ
= 32° + 21°
= 53° (Alternate angles)
Answer(s): (a) 77°; (b) 53°