PSLE In the figure, VWXY is a parallelogram. TYV and UYX are straight lines and TU = UV. ∠TUY = 27° and ∠WXY = 57°.
- Find ∠XYV.
- Find ∠YUV.
(a)
∠XYV
= 180° - 57°
= 123° (Interior angles)
(b)
∠TYU
= ∠XYV
= 123° (Vertically opposite angles)
∠UTY
= 180° - 123° - 27°
= 30° (Angles sum of triangle)
∠UVY = ∠UTY (Isosceles triangle)
∠TUV
= 180° - 30° - 30°
= 120° (Angles sum of triangle)
∠YUV
= 120° - 27°
= 93°
Answer(s): (a) 123°; (b) 93°