document.write( "Question 175387: An angle is 25 degrees LESS than the measure of its complement. What is the measure of the SMALLER angle? \n" ); document.write( "
Algebra.Com's Answer #130437 by gonzo(654)![]() ![]() ![]() You can put this solution on YOUR website! let x = the angle. \n" ); document.write( "90 - x = the complement. \n" ); document.write( "--- \n" ); document.write( "the angle is 25 degrees less than the measure of its complement. \n" ); document.write( "x = 90 - x - 25 \n" ); document.write( "--- \n" ); document.write( "solve for x: \n" ); document.write( "x = 90 - x - 25 \n" ); document.write( "add x to both sides of equation to get: \n" ); document.write( "2x = 90 - 25 = 65 \n" ); document.write( "divide both sides by 2 to get: \n" ); document.write( "x = 32.5 \n" ); document.write( "--- \n" ); document.write( "confirm this answer is good. \n" ); document.write( "x = 90 - x - 25 \n" ); document.write( "32.5 = 90 - 32.5 - 25 \n" ); document.write( "32.5 = 90 - 57.5 \n" ); document.write( "32.5 = 32.5 \n" ); document.write( "answer is confirmed. \n" ); document.write( "--- \n" ); document.write( "complement to the angle is 90 - 32.5 = 57.5 \n" ); document.write( "angle = 32.5 degrees \n" ); document.write( "complement = 57.5 degrees \n" ); document.write( "angle is smaller \n" ); document.write( "answer is: \n" ); document.write( "measure of the smaller angle is 32.5 degrees \n" ); document.write( "--- \n" ); document.write( " \n" ); document.write( " |