document.write( "Question 1183424: Let x◦ be the measurement of an angle. The ratio of the measurement of the complement of the angle to the measurement of the supplement of the angle is 1:3. The measurement of the complement of the angle and the measurement of the
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document.write( "supplement of the angle have a sum of 180◦ . Find x. \n" );
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Algebra.Com's Answer #813752 by greenestamps(13209) You can put this solution on YOUR website! \n" ); document.write( "The problem is strangely presented; either condition alone will give the answer. \n" ); document.write( "I will use the first condition to solve the problem in a very different way from the other tutor. \n" ); document.write( "The ratio of the measurement of the complement of the angle to the measurement of the supplement of the angle is 1:3. So let the measures of those two angles be y and 3y (I'm using y because the statement of the problem uses x for the measure of the angle). \n" ); document.write( "The difference between the complement of an angle and the supplement of an angle is 90 degrees: \n" ); document.write( "3y-y=90 \n" ); document.write( "2y=90 \n" ); document.write( "y=45 \n" ); document.write( "The complement of angle x is 45 degrees, so the angle x is 90-45=45 degrees. \n" ); document.write( "ANSWER: The measure of the angle is 45 degrees. \n" ); document.write( " \n" ); document.write( " |