document.write( "Question 623817: The measure of an angle is 20 less than 3 times its supplement. How would you write this in an equation? \n" ); document.write( "
Algebra.Com's Answer #392329 by math-vortex(648)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Hi, there--\r\n" );
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document.write( "The Problem:\r\n" );
document.write( "The measure of an angle is 20 less than 3 times its supplement. Write this in an equation.\r\n" );
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document.write( "A Solution:\r\n" );
document.write( "Two angles form a supplementary pair when the sum of their measures is 180 degrees.\r\n" );
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document.write( "Let x be the measure of the first angle.\r\n" );
document.write( "Then the measure of the second angle will be 180-x since x + (180-x) = 180.\r\n" );
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document.write( "We know that the measure of the smaller angle is 20 less than 3 times its supplement.\r\n" );
document.write( "[the measure of the first angle] = 3 * [the measure of the second angle] - 20\r\n" );
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document.write( "An equation representing this relationship is:\r\n" );
document.write( "x = 3*(180-x) - 20\r\n" );
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document.write( "Solving for x, we have\r\n" );
document.write( "x = 540 - 3x -20\r\n" );
document.write( "x = 520 - 3x\r\n" );
document.write( "4x = 520\r\n" );
document.write( "x = 130\r\n" );
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document.write( "The first angle has a measure of 130 degrees. The second angle is its supplement so it has a \r\n" );
document.write( "measure or 180-130=50 degrees.\r\n" );
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document.write( "We need to check that these measures satisfy all the criteria of the problem.\r\n" );
document.write( "3 times the second angle is 3*50=150, and 130 is 20 less than 150. Check!\r\n" );
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document.write( "Feel free to email me if you have questions about this solution.\r\n" );
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document.write( "Ms.Figgy\r\n" );
document.write( "math.in.the.vortex@gmail.com\r\n" );
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