In the figure, not drawn to scale, O is the centre of the semi circle and OSTU is a rhombus. ∠OUV = 33°. Find
- ∠f
- ∠g.
(a)
OU = OV = Radius
∠UOV
= 180° - 33° - 33°
= 114° (Isosceles triangle)
∠f = ∠UOV = 114° (Corresponding angles, ST//OU)
(b)
∠g
= 180° - 114°
= 66° (Interior angles, TU//SO)
Answer(s): (a) 114°; (b) 66°