SOLUTION: two angles are complementary. one angle is 10degr. less than 9 times the other. find the measure of each angle.

two angles are complementary. one angle is 10degr. less than 9 times the other. find the measure of each angle.





What is asked in the problem?

    Find the measure of each angle.





Given:

   Two angles are complementary

   One angle is 10 degrees less than 9 times the other





Representation:

    Let       x = the measure of the first angle.

        9x - 10 = the measure of the second angle.



Equation:

 Note that if the two angles are complementary, the sum of the measures of the two angles is 90 degrees.

          x + 9x - 10 = 90

             10x - 10 = 90

                  10x = 90 + 10

                  10x = 100

                    x = 10 degrees , measure of the first angle



               9x - 10; x = 10

           9 (10) - 10

               90 - 10

                       80 degrees, measure of the second angle



CHecking: the sum of the two angles must be 90 degrees to justify that your answers were correct



       80 + 10 = 90

            90 = 90   -> true