# 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; ` `} ` |

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## 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.. ` |

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## 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 ` |

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## 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.. ` |

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**Output:**

The exterior angle of the cyclic quadrilateral is 48 degrees

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