Question 80207
<pre>
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