document.write( "Question 678488: Two angles form a linear pair. The measure of the smaller angle is one quarter the measure of the larger angle. Find the measure of the smaller angle. \r
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Algebra.Com's Answer #421442 by rm29924(97)![]() ![]() You can put this solution on YOUR website! Definition of a linear pair of angles is that they are adjacent and supplementary. \n" ); document.write( "If they are supplementary their sum = 180 degrees. \n" ); document.write( "let x=the larger angle \n" ); document.write( "the smaller angle is 1/4x \n" ); document.write( "x+1/4x=180 \n" ); document.write( "1 1/4x=180 \n" ); document.write( "1 and 1/4 is the same as 1.25 \n" ); document.write( "1.25x=180 \n" ); document.write( "x=144 \n" ); document.write( "the smaller angle is 1/4x \n" ); document.write( "1/4(144) \n" ); document.write( "36\r \n" ); document.write( "\n" ); document.write( "answer: the smaller angle is 36 degrees \n" ); document.write( " |