Question 98645


          Find the measure of an angle whose supplement measures 38 degrees less than three times its complement.

          Let the required angle be x degrees

          its supplement will be 180-x

          its compliment will be 90-x

      the relation given is supplement = 3(compliment)-38 degrees

                                 180-x = 3(90-x)-38

                                 3x-x  = 270-180-38

                                    2x = 90-38 = 52

                                    2x = 52  or   x = 52/2 = 26 degrees

                         the required angle = 26 degrees