document.write( "Question 214210This question is from textbook Prentice Hall Mathematics Geometry
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document.write( ": The measures of two supplementary angles are in the ratio 2:3. Find their measures. \n" );
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Algebra.Com's Answer #161794 by drj(1380)![]() ![]() You can put this solution on YOUR website! The measures of two supplementary angles are in the ratio 2:3. Find their measures.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 1. Let 2x be one angle and 3x be the other angle. The ratio of these two angles is 2x/3x=2/3 as given on the problem.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 2. The two angles must add up to 180 degrees by definition.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 3. Then 2x+3x=180 or 5x=180 which implies that x=36. 2x=72 and 3x=108\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 4. The angles are then 72 degrees and 108 degrees. Note the two angles add up to 180 and their ratio is 72/108=2/3 satisfying the problem statement.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "And good luck in your studies!\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Respectfully, \n" ); document.write( "Dr J\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |