document.write( "Question 1124825: Two angles are supplementary if the sum of their measures is 180°. The measure of the first angle is 36° less than three times the second angle.\r
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document.write( "What is the measure of the smaller of the two angles?\r
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document.write( " A. The smaller angle has a measure of 54 degrees.
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document.write( " B. The smaller angle has a measure of 108 degrees.
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document.write( " C. The smaller angle has a measure of 26 degrees.
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document.write( " D. The smaller angle has a measure of 72 degrees \n" );
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Algebra.Com's Answer #741161 by Theo(13342)![]() ![]() You can put this solution on YOUR website! the measure of the first angle is 36 less than three times the measure of the second angle.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the sum of the measure of both angles is 180 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "let x = the measure of the second angle.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the measure of the second angle is 3 * x - 36.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the sum of the angles = 180 becomes x + 3 * x - 36 = 180\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "add 36 to both sides of this equation to get x + 3 * x = 216\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "combine like terms to get 4x = 216\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for x to get x = 216 / 4 = 54.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that's the measure of the second angle.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the measure of the first angle is 3 * 54 - 36 = 162 - 36 = 126.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the first angle is 126. \n" ); document.write( "the second angle is 54. \n" ); document.write( "the sum of the angles is 126 + 54 = 180 \n" ); document.write( "the first angle is 36 less than 3 * the second angle becomes 126 = 3 * 54 - 36 which becomes 162 - 36 = 126 which becomes 126 = 126.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solution is confirmed to be good. \n" ); document.write( "solution is the measure of the smaller angle is 54 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |