In the figure, not drawn to scale, O is the centre of the semi circle and OQRS is a rhombus. ∠OST = 34°. Find
- ∠n
- ∠p.
(a)
OS = OT = Radius
∠SOT
= 180° - 34° - 34°
= 112° (Isosceles triangle)
∠n = ∠SOT = 112° (Corresponding angles, QR//OS)
(b)
∠p
= 180° - 112°
= 68° (Interior angles, RS//QO)
Answer(s): (a) 112°; (b) 68°