In the figure, not drawn to scale, O is the centre of the semi circle and OQRS is a rhombus. ∠OST = 35°. Find
- ∠s
- ∠t.
(a)
OS = OT = Radius
∠SOT
= 180° - 35° - 35°
= 110° (Isosceles triangle)
∠s = ∠SOT = 110° (Corresponding angles, QR//OS)
(b)
∠t
= 180° - 110°
= 70° (Interior angles, RS//QO)
Answer(s): (a) 110°; (b) 70°