In the figure, not drawn to scale, O is the centre of the semi circle and OSTU is a rhombus. ∠OUV = 29°. Find
- ∠y
- ∠z.
(a)
OU = OV = Radius
∠UOV
= 180° - 29° - 29°
= 122° (Isosceles triangle)
∠y = ∠UOV = 122° (Corresponding angles, ST//OU)
(b)
∠z
= 180° - 122°
= 58° (Interior angles, TU//SO)
Answer(s): (a) 122°; (b) 58°