In the figure, not drawn to scale, O is the centre of the semi circle and OQRS is a rhombus. ∠OST = 31°. Find
- ∠f
- ∠g.
(a)
OS = OT = Radius
∠SOT
= 180° - 31° - 31°
= 118° (Isosceles triangle)
∠f = ∠SOT = 118° (Corresponding angles, QR//OS)
(b)
∠g
= 180° - 118°
= 62° (Interior angles, RS//QO)
Answer(s): (a) 118°; (b) 62°