PSLE In the figure, VWXY is a parallelogram. TYV and UYX are straight lines and TU = UV. ∠TUY = 23° and ∠WXY = 56°.
- Find ∠XYV.
- Find ∠YUV.
(a)
∠XYV
= 180° - 56°
= 124° (Interior angles)
(b)
∠TYU
= ∠XYV
= 124° (Vertically opposite angles)
∠UTY
= 180° - 124° - 23°
= 33° (Angles sum of triangle)
∠UVY = ∠UTY (Isosceles triangle)
∠TUV
= 180° - 33° - 33°
= 114° (Angles sum of triangle)
∠YUV
= 114° - 23°
= 91°
Answer(s): (a) 124°; (b) 91°