WXYZ is a quadrilateral and OWZY is a trapezium in which OW // ZY and ∠XWZ = 113°, ∠WZY = 126°, ∠XYZ = 67° and ZY = ZW. Find
- ∠WXO
- ∠ZWO
- ∠WYZ.
(a)
∠WXO
= 360° - 126° -113° - 67°
= 54° (Sum of angles in a quadrilateral)
(b)
∠ZWO
= 180° - 126°
= 54° (Interior angles, WO//ZC)
(c)
∠WYZ
= (180° - 126°) ÷ 2
= 54 ÷ 2
= 27° (Isosceles triangle)
Answer(s): (a) 54°; (b) 54°; (c) 27°