In the figure, not drawn to scale, O is the centre of the semi circle and OQRS is a rhombus. ∠OST = 32°. Find
- ∠t
- ∠v.
(a)
OS = OT = Radius
∠SOT
= 180° - 32° - 32°
= 116° (Isosceles triangle)
∠t = ∠SOT = 116° (Corresponding angles, QR//OS)
(b)
∠v
= 180° - 116°
= 64° (Interior angles, RS//QO)
Answer(s): (a) 116°; (b) 64°