Question 98637

  Two angles are complementary. One angle is 26 degrees more than the other angle. What ar the measures of the angles?

      let one angle be = x  its compliment is 90-x

      given one angle is 26 degrees more than the other

       therefore x = (90-x)+26

                x+x = 90+26
          
                 2x = 116

                  x = 116/2 = 58

                90-x = 90-58 = 32

        the two angles are 58 degrees and 32 degrees