document.write( "Question 1139697: In triangle ABC, the measure of angles A and B are in the ratio 1:3. Angle C is 5 degrees more than Angle A. Find the number of degrees of each angle. [Only an algebraic solution will be accepted]
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Algebra.Com's Answer #760199 by josmiceli(19441) $\"\"$ $\"About$

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$\"+1%2F3+=+A%2FB+\"$
\n" ); document.write( " $\"+3A+=+B+\"$
\n" ); document.write( " $\"+C+=+A+%2B+5+\"$
\n" ); document.write( " $\"+A+%2B+B+%2B+C+=+180+\"$
\n" ); document.write( "--------------------------
\n" ); document.write( "By substitution:
\n" ); document.write( " $\"+A+%2B+3A+%2B+A+%2B+5+=+180+\"$
\n" ); document.write( " $\"+5A+=+175+\"$
\n" ); document.write( " $\"+A+=+35+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+C+=+A+%2B+5+\"$
\n" ); document.write( " $\"+C+=+35+%2B+5+\"$
\n" ); document.write( " $\"+C+=+40+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+B+=+3A+\"$
\n" ); document.write( " $\"+B+=+3%2A35+\"$
\n" ); document.write( " $\"+B+=+105+\"$
\n" ); document.write( "------------------
\n" ); document.write( "The angles are 35, 40, 105
\n" ); document.write( "check:
\n" ); document.write( " $\"+A+%2B+B+%2B+C+=+180+\"$
\n" ); document.write( " $\"+35+%2B+40+%2B+105+=+180+\"$
\n" ); document.write( " $\"+180+=+180+\"$
\n" ); document.write( "OK
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