document.write( "Question 599657: In a pair of supplementary angles, the measure of one angle is 2 more than double the other angle. What are the measures of each angle? \n" ); document.write( "
Algebra.Com's Answer #379046 by math-vortex(648)\"\" \"About 
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Hi, there--
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\n" ); document.write( "Two angles are supplementary when the sum of their measures is 180 degrees.
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\n" ); document.write( "Let x be the measure of the first angle.
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\n" ); document.write( "The measure of the second angle is \"2 more than double the other angle.\" We can write that relationship as 2x+2.
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\n" ); document.write( "The sum of the angle measures is 180 degrees, so we can write the equation,
\n" ); document.write( "\"x%2B2x%2B2=180\"
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\n" ); document.write( "Now we solve for x.
\n" ); document.write( "\"3x%2B2=180\"
\n" ); document.write( "\"3x=180-2\"
\n" ); document.write( "\"3x=178\"
\n" ); document.write( "\"x=178%2F3\"
\n" ); document.write( "\"x=59%261%2F3\"
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\n" ); document.write( "The equation x = 59 1/3 means that the first angle measures 59 1/3 degrees. The second angle measures 2 more than double, so its measure is 2*(59 1/3)+ 2 = 120 2/3 degrees.
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\n" ); document.write( "Be sure to check your answer. Is the sum of their measures 180 degrees?
\n" ); document.write( "\"59%261%2F3%2B120%262%2F3=180\"
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\n" ); document.write( "Check!
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\n" ); document.write( "That's it. Feel free to email via gmail if you have questions about the solution.
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\n" ); document.write( "Ms.Figgy
\n" ); document.write( "math.in.the.vortex
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