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Question
In figure, if ∠AOB = 125°, then ∠COD is equal to ______.
Options
62.5°
45°
35°
55°
Solution
In figure, if ∠AOB = 125°, then ∠COD is equal to 55°.
Explanation:
ABCD is a quadrilateral circumscribing the circle
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°
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