UVWX is a quadrilateral and OUXW is a trapezium in which OU // XW and ∠VUX = 108°, ∠UXW = 128°, ∠VWX = 63° and XW = XU. Find
- ∠UVO
- ∠XUO
- ∠UWX.
(a)
∠UVO
= 360° - 128° -108° - 63°
= 61° (Sum of angles in a quadrilateral)
(b)
∠XUO
= 180° - 128°
= 52° (Interior angles, UO//XC)
(c)
∠UWX
= (180° - 128°) ÷ 2
= 52 ÷ 2
= 26° (Isosceles triangle)
Answer(s): (a) 61°; (b) 52°; (c) 26°