In the given figure, if ∠𝐴𝑂𝐵 = 125°, then ∠𝐶𝑂𝐷 is equal to:

We have been given ∠𝐴𝑂𝐵 and we have to find the angle ∠𝐶𝑂𝐷.

We know that quadrilateral circumscribing a circle subtends an angle of 180° at the centre of a circle.

⇒∠𝐴𝑂𝐵 + ∠𝐶𝑂𝐷 = 180°

⇒ 125° + ∠𝐶𝑂𝐷 = 180°

⇒ ∠𝐶𝑂𝐷 = 55°

Hence, ∠𝐶𝑂𝐷 is equal to 55° .