document.write( "Question 154571This question is from textbook Algebra and Trigonometry Structure and Method book 2
\n" ); document.write( ": I have been working on this problem for awhile now and I still can't figure it out. I was wondering if someone would help me? Please and Thank You!! I would deeply appreciate it!!\r
\n" ); document.write( "\n" ); document.write( "The measure of the supplement of an angle is 12 degress greater than three times the measure of a complement. Find the measure of the angle.
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Algebra.Com's Answer #113813 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
Let x=measure of original angle, y=measure of the supplementary angle and z=measure of the complementary angle\r
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\n" ); document.write( "\n" ); document.write( "Remember supplemental angles add to 180 degrees and complementary angles add to 90 degrees. So this means that \"x%2By=180\" and \"x%2Bz=90\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%2By=180\" Start with the first equation.\r
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\n" ); document.write( "\n" ); document.write( "\"y=180-x\" Subtract \"x\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"x%2Bz=90\" Move onto the second equation.\r
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\n" ); document.write( "\n" ); document.write( "\"z=90-x\" Subtract \"x\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "Since \"measure of the supplement of an angle is 12 degrees greater than three times the measure of a complement\" this means that the third equation is \"y=3z%2B12\"\r
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\n" ); document.write( "\n" ); document.write( "\"y=3z%2B12\" Start with the third equation.\r
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\n" ); document.write( "\n" ); document.write( "\"180-x=3%2890-x%29%2B12\" Plug in \"y=180-x\" and \"z=90-x\"\r
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\n" ); document.write( "\n" ); document.write( "\"180-x=270-3x%2B12\" Distribute.\r
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\n" ); document.write( "\n" ); document.write( "\"180-x=-3x%2B282\" Combine like terms on the right side.\r
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\n" ); document.write( "\n" ); document.write( "\"-x=-3x%2B282-180\" Subtract \"180\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"-x%2B3x=282-180\" Add \"3x\" to both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"2x=282-180\" Combine like terms on the left side.\r
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\n" ); document.write( "\n" ); document.write( "\"2x=102\" Combine like terms on the right side.\r
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\n" ); document.write( "\n" ); document.write( "\"x=%28102%29%2F%282%29\" Divide both sides by \"2\" to isolate \"x\".\r
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\n" ); document.write( "\n" ); document.write( "\"x=51\" Reduce.\r
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\n" ); document.write( "\n" ); document.write( "Answer:\r
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\n" ); document.write( "\n" ); document.write( "So the answer is \"x=51\" which means that the angle is 51 degrees\r
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