document.write( "Question 357600: What is the measure of an angle with a supplement that is four times its complement? \n" ); document.write( "

Algebra.Com's Answer #255305 by neatmath(302) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let the angle be x.
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\n" ); document.write( "\n" ); document.write( "The complement of an angle x is 90-x since an angle plus its complement is 90 degrees.
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\n" ); document.write( "\n" ); document.write( "The supplement of an angle x is 180-x since an angle plus its supplement is 180 degrees.
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\n" ); document.write( "\n" ); document.write( "Therefore, we are given
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\n" ); document.write( "\n" ); document.write( " $\"%28180-x%29=4%2890-x%29\"$
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\n" ); document.write( "\n" ); document.write( " $\"180-x=360-4x\"$
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\n" ); document.write( "\n" ); document.write( " $\"3x=180\"$
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\n" ); document.write( "\n" ); document.write( " $\"x=60\"$
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\n" ); document.write( "\n" ); document.write( "Thus, the measure of the angle we are looking for is 60 degrees.
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\n" ); document.write( "\n" ); document.write( "I hope this helps!
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