document.write( "Question 554850: Please help me solve this word problem:\r
\n" ); document.write( "\n" ); document.write( "The sum of all angles in a triangle is always 180 degrees. The measure of the first angle is four times the measure of the second angle. The measure of the third angle is 78° more than the second angle. What is each angle?\r
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\n" ); document.write( "\n" ); document.write( "Thanking you in advance,
\n" ); document.write( "Student Learner \n" ); document.write( "

Algebra.Com's Answer #361563 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let the angles be a,b, and c
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+a+%2B+b+%2B+c+=+180+\"$
\n" ); document.write( "(2) $\"+a+=+4b+\"$
\n" ); document.write( "(3) $\"+c+=+b+%2B+78+\"$
\n" ); document.write( "--------------
\n" ); document.write( "This is 3 equations and 3 unknowns,
\n" ); document.write( "so it's solvable
\n" ); document.write( "Substitute (2) and (3) into (1)
\n" ); document.write( "(1) $\"+4b+%2B+b+%2B+b+%2B+78+=+180+\"$
\n" ); document.write( "(1) $\"+6b+=+180+-+78+\"$
\n" ); document.write( "(1) $\"+6b+=+102+\"$
\n" ); document.write( "(1) $\"+b+=+17+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(2) $\"+a+=+4b+\"$
\n" ); document.write( "(2) $\"+a+=+4%2A17+\"$
\n" ); document.write( "(2) $\"+a+=+68+\"$
\n" ); document.write( "and
\n" ); document.write( "(3) $\"+c+=+b+%2B+78+\"$
\n" ); document.write( "(3) $\"+c+=+17+%2B+78+\"$
\n" ); document.write( "(3) $\"+c+=+95+\"$
\n" ); document.write( "The angles are 68, 17, and 95 degrees
\n" ); document.write( "check:
\n" ); document.write( " $\"+68+%2B+17+%2B+95+=+180+\"$
\n" ); document.write( " $\"+180+=+180+\"$
\n" ); document.write( "OK \n" ); document.write( "

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