PSLE TUVW is a trapezium with TU parallel to WV. TYU and XYW are straight lines and TX = XU. ∠XTW = 96°.
- Find ∠TWY.
- Find ∠UXY.
(a)
∠TWY
= 180° - 96° - 30°
= 54° (Angles sum of triangle)
(b)
∠TYW
= 72° (Alternate angles)
∠UTX
= 72° - 30°
= 42° (Exterior angle of a triangle)
∠UXY
= 180° - 42° - 42° - 30°
= 66° (Angles sum of triangle)
Answer(s): (a) 54°; (b) 66°