In the figure, not drawn to scale, O is the centre of the semi circle and OWXY is a rhombus. ∠OYZ = 33°. Find
- ∠w
- ∠x.
(a)
OY = OZ = Radius
∠YOZ
= 180° - 33° - 33°
= 114° (Isosceles triangle)
∠w = ∠YOZ = 114° (Corresponding angles, WX//OY)
(b)
∠x
= 180° - 114°
= 66° (Interior angles, XY//WO)
Answer(s): (a) 114°; (b) 66°