In figure, if ∠ AOB = 125 ° , find the ∠ COD.

Question

Philoid · Accepted Answer

Given: ∠AOB = 125°

To find: ∠COD

Explanation:

As in the given figure ABCD is a quadrilateral circumscribing the circle and we know that, the opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the center of the circle.

So, we have

∠AOB + ∠COD = 180°

125° + ∠COD = 180°

∠COD = 55°

In figure, if ∠AOB = 125°, find the ∠COD.