PSLE TUVW is a trapezium with TU parallel to WV. TYU and XYW are straight lines and TX = XU. ∠XTW = 99°.
- Find ∠TWY.
- Find ∠UXY.
(a)
∠TWY
= 180° - 99° - 28°
= 53° (Angles sum of triangle)
(b)
∠TYW
= 69° (Alternate angles)
∠UTX
= 69° - 28°
= 41° (Exterior angle of a triangle)
∠UXY
= 180° - 41° - 41° - 28°
= 70° (Angles sum of triangle)
Answer(s): (a) 53°; (b) 70°