document.write( "Question 222864: what is the measure of an angle that is one fourth as large as its supplement \n" ); document.write( "
Algebra.Com's Answer #166770 by drj(1380)\"\" \"About 
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What is the measure of an angle that is one fourth as large as its supplement.\r
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\n" ); document.write( "\n" ); document.write( "Step 1. Supplementary angles means two angles add up to 180 degrees.\r
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\n" ); document.write( "\n" ); document.write( "Step 2. Let x be the angle.\r
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\n" ); document.write( "\n" ); document.write( "Step 3. Let 180-x be the supplementary angle.\r
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\n" ); document.write( "\n" ); document.write( "Step 4. Then \"x=%28180-x%29%2F4\" since the measure of an angle that is one fourth as large as its supplement.\r
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\n" ); document.write( "\n" ); document.write( "Step 5. Solving the equation in Step 4 yields the following steps.\r
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\n" ); document.write( "\n" ); document.write( "Multiply 4 to both sides to get rid of the denominator\r
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\n" ); document.write( "\n" ); document.write( "\"4x=4%28180-x%29%2F4\"\r
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\n" ); document.write( "\n" ); document.write( "\"4x=180-x\"\r
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\n" ); document.write( "\n" ); document.write( "Add x to both sides of the equation\r
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\n" ); document.write( "\n" ); document.write( "\"4x%2Bx=180-x%2Bx\"\r
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\n" ); document.write( "\n" ); document.write( "\"5x=180\"\r
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\n" ); document.write( "\n" ); document.write( "Divide 5 to both sides of the equation\r
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\n" ); document.write( "\n" ); document.write( "\"5x%2F5=180%2F5\"\r
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\n" ); document.write( "\n" ); document.write( "\"x=36\" and \"180-x=144\" where 36 is one-fourth of 144.\r
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\n" ); document.write( "\n" ); document.write( "Step 6. ANSWER: The angle is 36 degrees.\r
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\n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful.\r
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\n" ); document.write( "\n" ); document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r
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\n" ); document.write( "\n" ); document.write( "Good luck in your studies!\r
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\n" ); document.write( "\n" ); document.write( "Respectfully,
\n" ); document.write( "Dr J\r
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