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° - 24°
= 60° (Angles sum of triangle)
(b)
∠TYW
= 65° (Alternate angles)
∠UTX
= 65° - 24°
= 41° (Exterior angle of a triangle)
∠UXY
= 180° - 41° - 41° - 24°
= 74° (Angles sum of triangle)
Answer(s): (a) 60°; (b) 74°