VWXY is a quadrilateral and OVYX is a trapezium in which OV // YX and ∠WVY = 113°, ∠VYX = 126°, ∠WXY = 68° and YX = YV. Find
- ∠VWO
- ∠YVO
- ∠VXY.
(a)
∠VWO
= 360° - 126° -113° - 68°
= 53° (Sum of angles in a quadrilateral)
(b)
∠YVO
= 180° - 126°
= 54° (Interior angles, VO//YC)
(c)
∠VXY
= (180° - 126°) ÷ 2
= 54 ÷ 2
= 27° (Isosceles triangle)
Answer(s): (a) 53°; (b) 54°; (c) 27°