Write a static method named anglepairs that accepts three angles (integers), measured in degrees, as parameters and returns whether or not there exists both complementary and supplementary angles amongst the three angles passed. two angles are complementary if their sum is exactly 90 degrees; two angles are supplementary if their sum is exactly 180 degrees. therefore, the method should return true if any two of the three angles add up to 90 degrees and also any two of the three angles add up to 180 degrees; otherwise the method should return false. you may assume that each angle passed is non-negative.

The java program for the scenario is given below.  

import java.util.*;

public class Test

{

// method returning sum of all digits in the integer parameter

static boolean anglePairs(int a1, int a2, int a3)

{

   // variable to hold sum of two complementary angles

   int comp=90;  

   // variable to hold sum of two supplementary angles

   int supp=180;

   // boolean variable to hold result

   boolean result = false;

   if( (a1+a2 == comp) || (a2+a3 == comp) || (a1+a3 == comp) )

   {

       if( (a1+a2 == supp) || (a2+a3 == supp) || (a1+a3 == supp) )

           result = true;

       else

           result = false;

   }    

           // return variable result

       return result;

}

public static void main(String[] args)

{

   // method is called by passing three positive angles

   System.out.println("The pair of angles have both complementary and supplementary angles " + anglePairs(100, 80, 90) );    

}

}

OUTPUT

The pair of angles have both complementary and supplementary angles false

Explanation:

The program works as described below.

1. The method, anglePairs(), is declared as static having return type as Boolean which takes three positive integer parameters.

static boolean anglePairs(int a1, int a2, int a3)

{

}

2. The integer variable, comp, is declared and initialized to 90.

3. The integer variable, supp, is declared and initialized to 180.

4. The Boolean variable, result, is declared and initialized to false.

5. Using if-else statements, sum of two angles are compared with the variables, comp and supp.

6. If the sum of any two angles match with both, comp and supp, variables, the Boolean variable, result is assigned value true. Otherwise, result is assigned value false.

7. The value of result is returned.

8. Inside main() method, the function anglePairs() is called and three positive numerical values are passed as parameters.  The output is displayed.

9. All the above code is written inside the class Test.

10. User input is not taken since it is not mentioned in the question.