# 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:48Output:48 degreesInput:83Output: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 <bits/stdc++.h>` `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..` |

## Javascript

`<script>` `// javascript program to find the exterior angle` `// of a cyclic quadrilateral when` `// the opposite interior angle is given` `function` `angleextcycquad(z)` `{` ` ` `document.write( ` `"The exterior angle of the"` ` ` `+ ` `" cyclic quadrilateral is "` ` ` `+ z +` `" degrees"` `);` `}` `// Driver code` `var` `z = 48;` `angleextcycquad(z);` `// This code is contributed by Princi Singh ` `</script>` |

**Output:**

The exterior angle of the cyclic quadrilateral is 48 degrees

**Time Complexity:** O(1)

**Auxiliary Space:** O(1)