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

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  • Last Updated : 30 May, 2022

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 <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)


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