In the figure, not drawn to scale, O is the centre of the semi circle and OABC is a rhombus. ∠OCD = 31°. Find
- ∠y
- ∠z.
(a)
OC = OD = Radius
∠COD
= 180° - 31° - 31°
= 118° (Isosceles triangle)
∠y = ∠COD = 118° (Corresponding angles, AB//OC)
(b)
∠z
= 180° - 118°
= 62° (Interior angles, BC//AO)
Answer(s): (a) 118°; (b) 62°