In the figure, not drawn to scale, O is the centre of the semi circle and OSTU is a rhombus. ∠OUV = 30°. Find
- ∠h
- ∠i.
(a)
OU = OV = Radius
∠UOV
= 180° - 30° - 30°
= 120° (Isosceles triangle)
∠h = ∠UOV = 120° (Corresponding angles, ST//OU)
(b)
∠i
= 180° - 120°
= 60° (Interior angles, TU//SO)
Answer(s): (a) 120°; (b) 60°