PSLE In the figure, UVWX is a parallelogram. SXU and TXW are straight lines and ST = TU. ∠STX = 23° and ∠VWX = 56°.
- Find ∠WXU.
- Find ∠XTU.
(a)
∠WXU
= 180° - 56°
= 124° (Interior angles)
(b)
∠SXT
= ∠WXU
= 124° (Vertically opposite angles)
∠TSX
= 180° - 124° - 23°
= 33° (Angles sum of triangle)
∠TUX = ∠TSX (Isosceles triangle)
∠STU
= 180° - 33° - 33°
= 114° (Angles sum of triangle)
∠XTU
= 114° - 23°
= 91°
Answer(s): (a) 124°; (b) 91°