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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