PSLE In the figure, VWXY is a parallelogram. TYV and UYX are straight lines and TU = UV. ∠TUY = 32° and ∠WXY = 58°.
- Find ∠XYV.
- Find ∠YUV.
(a)
∠XYV
= 180° - 58°
= 122° (Interior angles)
(b)
∠TYU
= ∠XYV
= 122° (Vertically opposite angles)
∠UTY
= 180° - 122° - 32°
= 26° (Angles sum of triangle)
∠UVY = ∠UTY (Isosceles triangle)
∠TUV
= 180° - 26° - 26°
= 128° (Angles sum of triangle)
∠YUV
= 128° - 32°
= 96°
Answer(s): (a) 122°; (b) 96°