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++
#include <bits/stdc++.h>
using namespace std;
void angleextcycquad( int z)
{
cout << "The exterior angle of the"
<< " cyclic quadrilateral is "
<< z << " degrees" << endl;
}
int main()
{
int z = 48;
angleextcycquad(z);
return 0;
}
|
Java
import java.io.*;
class GFG
{
static void angleextcycquad( int z)
{
System.out.print( "The exterior angle of the"
+ " cyclic quadrilateral is "
+ z + " degrees" );
}
public static void main (String[] args)
{
int z = 48 ;
angleextcycquad(z);
}
}
|
Python3
def angleextcycquad(z):
print ( "The exterior angle of the" ,end = "");
print ( "cyclic quadrilateral is " ,end = "");
print (z, " degrees" );
z = 48 ;
angleextcycquad(z);
|
C#
using System;
class GFG
{
static void angleextcycquad( int z)
{
Console.WriteLine( "The exterior angle of the"
+ " cyclic quadrilateral is "
+ z + " degrees" );
}
public static void Main ()
{
int z = 48;
angleextcycquad(z);
}
}
|
Javascript
<script>
function angleextcycquad(z)
{
document.write( "The exterior angle of the"
+ " cyclic quadrilateral is "
+ z + " degrees" );
}
var z = 48;
angleextcycquad(z);
</script>
|
Output: The exterior angle of the cyclic quadrilateral is 48 degrees
Time Complexity: O(1)
Auxiliary Space: O(1)
Last Updated :
30 May, 2022
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