In the figure, not drawn to scale, O is the centre of the semi circle and OABC is a rhombus. ∠OCD = 33°. Find
- ∠n
- ∠p.
(a)
OC = OD = Radius
∠COD
= 180° - 33° - 33°
= 114° (Isosceles triangle)
∠n = ∠COD = 114° (Corresponding angles, AB//OC)
(b)
∠p
= 180° - 114°
= 66° (Interior angles, BC//AO)
Answer(s): (a) 114°; (b) 66°