In the figure, not drawn to scale, O is the centre of the semi circle and OWXY is a rhombus. ∠OYZ = 29°. Find
- ∠x
- ∠y.
(a)
OY = OZ = Radius
∠YOZ
= 180° - 29° - 29°
= 122° (Isosceles triangle)
∠x = ∠YOZ = 122° (Corresponding angles, WX//OY)
(b)
∠y
= 180° - 122°
= 58° (Interior angles, XY//WO)
Answer(s): (a) 122°; (b) 58°