WXYZ is a quadrilateral and OWZY is a trapezium in which OW // ZY and ∠XWZ = 113°, ∠WZY = 122°, ∠XYZ = 66° and ZY = ZW. Find
- ∠WXO
- ∠ZWO
- ∠WYZ.
(a)
∠WXO
= 360° - 122° -113° - 66°
= 59° (Sum of angles in a quadrilateral)
(b)
∠ZWO
= 180° - 122°
= 58° (Interior angles, WO//ZC)
(c)
∠WYZ
= (180° - 122°) ÷ 2
= 58 ÷ 2
= 29° (Isosceles triangle)
Answer(s): (a) 59°; (b) 58°; (c) 29°