document.write( "Question 175388: An angle measures 15 degrees more than twice its supplement. Find the measure of the supplement. \n" ); document.write( "
Algebra.Com's Answer #130435 by gonzo(654)\"\" \"About 
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let x = the angle
\n" ); document.write( "180 - x = the supplement of the angle.
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\n" ); document.write( "the angle measures 15 degrees more than twice its supplement.
\n" ); document.write( "x = 15 + (2 * (180-x))
\n" ); document.write( "simplify to get:
\n" ); document.write( "x = 15 + 360 - 2x
\n" ); document.write( "add x to both sides to get:
\n" ); document.write( "3x = 375
\n" ); document.write( "divide both sides by 3 to get:
\n" ); document.write( "x = 125 degrees
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\n" ); document.write( "if x = 15 + 360 - 2x, then
\n" ); document.write( "x = 15 + 360 - 250 = 375 - 250 = 125 degrees.
\n" ); document.write( "this confirms the original equation so the answer is good.
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\n" ); document.write( "the measure of the angle is 125 degrees.
\n" ); document.write( "this, however, is not what they asked.
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\n" ); document.write( "the measure of the supplement is 180 - 125 degrees = 55 degrees
\n" ); document.write( "the answer is:
\n" ); document.write( "the measure of the supplement is 55 degrees.
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\n" ); document.write( "to confirm again:
\n" ); document.write( "x = 15 + 2*55 = 15 + 110 = 125 degrees.
\n" ); document.write( "answer is confirmed.
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