In the figure, not drawn to scale, O is the centre of the semi circle and OSTU is a rhombus. ∠OUV = 35°. Find
- ∠d
- ∠e.
(a)
OU = OV = Radius
∠UOV
= 180° - 35° - 35°
= 110° (Isosceles triangle)
∠d = ∠UOV = 110° (Corresponding angles, ST//OU)
(b)
∠e
= 180° - 110°
= 70° (Interior angles, TU//SO)
Answer(s): (a) 110°; (b) 70°