SOLUTION: The measures of two supplementary angles differ by by 74. Find the two angles.

x + (x+74) = 180 degrees.


2x + 74 = 180 ====>  2x = 180 - 74 = 106  ====>  x =  = 53.


Answer.  The smaller angle is 53 degrees.  The larger angle is 53 + 74 = 127 degrees.