# Exterior angle of a cyclic quadrilateral when the opposite interior angle is given

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.

Examples:

```Input: 48
Output: 48 degrees

Input: 83
Output: 83 degrees
``` Approach:

• 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:

## C++

 `// C++ program to find the exterior angle ` `// of a cyclic quadrilateral when ` `// the opposite interior angle is given ` ` `  `#include ` `using` `namespace` `std; ` ` `  `void` `angleextcycquad(``int` `z) ` `{ ` `    ``cout << ``"The exterior angle of the"` `         ``<< ``" cyclic quadrilateral is "` `         ``<< z << ``" degrees"` `<< endl; ` `} ` ` `  `// Driver code ` `int` `main() ` `{ ` `    ``int` `z = 48; ` `    ``angleextcycquad(z); ` `    ``return` `0; ` `} `

## Java

 `// Java program to find the exterior angle ` `// of a cyclic quadrilateral when ` `// the opposite interior angle is given ` ` `  `import` `java.io.*; ` ` `  `class` `GFG  ` `{ ` ` `  `static` `void` `angleextcycquad(``int` `z) ` `{ ` `    ``System.out.print( ``"The exterior angle of the"` `        ``+ ``" cyclic quadrilateral is "` `        ``+ z +``" degrees"``); ` `} ` ` `  `// Driver code ` `public` `static` `void` `main (String[] args)  ` `{ ` `        ``int` `z = ``48``; ` `    ``angleextcycquad(z); ` `} ` `} ` ` `  `// This code is contributed by anuj_67.. `

## Python3

 `# Python program to find the exterior angle ` `# of a cyclic quadrilateral when ` `# the opposite interior angle is given ` ` `  `def` `angleextcycquad(z): ` `    ``print``(``"The exterior angle of the"``,end``=``"");  ` `    ``print``(``"cyclic quadrilateral is "``,end``=``"");  ` `    ``print``(z,``" degrees"``); ` ` `  `# Driver code ` `z ``=` `48``; ` `angleextcycquad(z); ` ` `  `# This code is contributed by 29AjayKumar `

## C#

 `// C# program to find the exterior angle ` `// of a cyclic quadrilateral when ` `// the opposite interior angle is given ` `using` `System; ` ` `  `class` `GFG  ` `{ ` ` `  `static` `void` `angleextcycquad(``int` `z) ` `{ ` `    ``Console.WriteLine( ``"The exterior angle of the"` `        ``+ ``" cyclic quadrilateral is "` `        ``+ z +``" degrees"``); ` `} ` ` `  `// Driver code ` `public` `static` `void` `Main ()  ` `{ ` `        ``int` `z = 48; ` `    ``angleextcycquad(z); ` `} ` `} ` ` `  `// This code is contributed by anuj_67.. `

Output:

```The exterior angle of the cyclic quadrilateral is 48 degrees
```

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