UVWX is a quadrilateral and OUXW is a trapezium in which OU // XW and ∠VUX = 108°, ∠UXW = 124°, ∠VWX = 68° and XW = XU. Find
- ∠UVO
- ∠XUO
- ∠UWX.
(a)
∠UVO
= 360° - 124° -108° - 68°
= 60° (Sum of angles in a quadrilateral)
(b)
∠XUO
= 180° - 124°
= 56° (Interior angles, UO//XC)
(c)
∠UWX
= (180° - 124°) ÷ 2
= 56 ÷ 2
= 28° (Isosceles triangle)
Answer(s): (a) 60°; (b) 56°; (c) 28°