UVWX is a quadrilateral and OUXW is a trapezium in which OU // XW and ∠VUX = 110°, ∠UXW = 126°, ∠VWX = 68° and XW = XU. Find
- ∠UVO
- ∠XUO
- ∠UWX.
(a)
∠UVO
= 360° - 126° -110° - 68°
= 56° (Sum of angles in a quadrilateral)
(b)
∠XUO
= 180° - 126°
= 54° (Interior angles, UO//XC)
(c)
∠UWX
= (180° - 126°) ÷ 2
= 54 ÷ 2
= 27° (Isosceles triangle)
Answer(s): (a) 56°; (b) 54°; (c) 27°