PSLE TUVW is a trapezium with TU parallel to WV. TYU and XYW are straight lines and TX = XU. ∠XTW = 93°.
- Find ∠TWY.
- Find ∠UXY.
(a)
∠TWY
= 180° - 93° - 26°
= 61° (Angles sum of triangle)
(b)
∠TYW
= 72° (Alternate angles)
∠UTX
= 72° - 26°
= 46° (Exterior angle of a triangle)
∠UXY
= 180° - 46° - 46° - 26°
= 62° (Angles sum of triangle)
Answer(s): (a) 61°; (b) 62°