document.write( "Question 101516: 10) Two angles are complementary if their sum is 90e. If the measure of the first angle is xe, and the measure of the
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document.write( "second angle is (3x - 2)e, find the measure of each angle. \n" );
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Algebra.Com's Answer #73908 by bucky(2189)![]() ![]() ![]() You can put this solution on YOUR website! You are told that one angle is x degrees and its complement is 3x - 2 degrees. \n" ); document.write( ". \n" ); document.write( "By definition they must add together to total 90 degrees. So you can write the equation: \n" ); document.write( ". \n" ); document.write( "x + 3x - 2 = 90 \n" ); document.write( ". \n" ); document.write( "Add the two terms containing x and the equation becomes: \n" ); document.write( ". \n" ); document.write( "4x - 2 = 90 \n" ); document.write( ". \n" ); document.write( "Get rid of the -2 on the left side by adding +2 to both sides. The addition of +2 on the \n" ); document.write( "left side cancels the -2 and you get: \n" ); document.write( ". \n" ); document.write( "4x = 92 \n" ); document.write( ". \n" ); document.write( "Solve for x by dividing both sides by 4: \n" ); document.write( ". \n" ); document.write( "x = 92/4 = 23 degrees \n" ); document.write( ". \n" ); document.write( "If this angle is 23 degrees, then its complement is 67 degrees because the sum of the two \n" ); document.write( "angles must be 90 degrees. \n" ); document.write( ". \n" ); document.write( "Hope this helps you to understand the problem. \n" ); document.write( ". \n" ); document.write( " |