PSLE TUVW is a trapezium with TU parallel to WV. TYU and XYW are straight lines and TX = XU. ∠XTW = 98°.
- Find ∠TWY.
- Find ∠UXY.
(a)
∠TWY
= 180° - 98° - 21°
= 61° (Angles sum of triangle)
(b)
∠TYW
= 75° (Alternate angles)
∠UTX
= 75° - 21°
= 54° (Exterior angle of a triangle)
∠UXY
= 180° - 54° - 54° - 21°
= 51° (Angles sum of triangle)
Answer(s): (a) 61°; (b) 51°