Given cyclic quadrilateral inside a circle, the task is to find the exterior angle of the cyclic quadrilateral when the opposite interior angle is given.
Input: 48 Output: 48 degrees Input: 83 Output: 83 degrees
- Let, the exterior angle, angle CDE = x
- and, it’s opposite interior angle is angle ABC
- as, ADE is a straight line
- so, angle ADC = (180-x) degrees
- since, opposite angles of a cyclic quadrilateral are supplementary,
- angle ABC = x
Below is the implementation of the above approach:
The exterior angle of the cyclic quadrilateral is 48 degrees
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