PSLE TUVW is a trapezium with TU parallel to WV. TYU and XYW are straight lines and TX = XU. ∠XTW = 92°.
- Find ∠TWY.
- Find ∠UXY.
(a)
∠TWY
= 180° - 92° - 23°
= 65° (Angles sum of triangle)
(b)
∠TYW
= 68° (Alternate angles)
∠UTX
= 68° - 23°
= 45° (Exterior angle of a triangle)
∠UXY
= 180° - 45° - 45° - 23°
= 67° (Angles sum of triangle)
Answer(s): (a) 65°; (b) 67°