document.write( "Question 602457: Whats the solution to this equation: Two angles are supplementary. The measure of one angle is 10 more than three times the other. Find the measure of each angle. \n" ); document.write( "

Algebra.Com's Answer #380269 by josmiceli(19441) $\"\"$ $\"About$

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Supplementary means they add up to 180 degrees
\n" ); document.write( "Let the angles be $\"+a+\"$ and $\"+b+\"$ degrees
\n" ); document.write( "----------
\n" ); document.write( "(1) $\"+a+%2B+b+=+180+\"$ degrees
\n" ); document.write( "(2) $\"+a+=+3b+%2B+10+\"$ degrees
\n" ); document.write( "Substitute (2) into (1)
\n" ); document.write( "(1) $\"+3b+%2B+10+%2B+b+=+180+\"$
\n" ); document.write( "(1) $\"+4b+=+170+\"$ '
\n" ); document.write( "(1) $\"+b+=+42.5+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+%2B+b+=+180+\"$
\n" ); document.write( "(1) $\"+a+%2B+42.5+=+180+\"$
\n" ); document.write( "(1) $\"+a+=+137.5+\"$
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+a+=+3b+%2B+10+\"$
\n" ); document.write( "(2) $\"+137.5+=+3%2A42.5+%2B+10+\"$
\n" ); document.write( "(2) $\"+137.5+=+127.5+%2B+10+\"$
\n" ); document.write( "(2) $\"+137.5+=+137.5+\"$
\n" ); document.write( "OK \n" ); document.write( "

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