In the figure, not drawn to scale, O is the centre of the semi circle and OQRS is a rhombus. ∠OST = 29°. Find
- ∠b
- ∠c.
(a)
OS = OT = Radius
∠SOT
= 180° - 29° - 29°
= 122° (Isosceles triangle)
∠b = ∠SOT = 122° (Corresponding angles, QR//OS)
(b)
∠c
= 180° - 122°
= 58° (Interior angles, RS//QO)
Answer(s): (a) 122°; (b) 58°