In the figure, not drawn to scale, O is the centre of the semi circle and OSTU is a rhombus. ∠OUV = 31°. Find
- ∠x
- ∠y.
(a)
OU = OV = Radius
∠UOV
= 180° - 31° - 31°
= 118° (Isosceles triangle)
∠x = ∠UOV = 118° (Corresponding angles, ST//OU)
(b)
∠y
= 180° - 118°
= 62° (Interior angles, TU//SO)
Answer(s): (a) 118°; (b) 62°