document.write( "Question 305846: The sum of the interior angles of a triangle can be represented by three consecutive even integers. Name the three integers and show the steps in finding them \n" ); document.write( "

Algebra.Com's Answer #218951 by Stitch(470) $\"\"$ $\"About$

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\n" ); document.write( "The interior angles of a triangle add up to 180
\n" ); document.write( "Equation 1: $\"X+%2B+%28X+%2B+1%29+%2B+%28X+%2B+2%29+=+180\"$
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\n" ); document.write( "Solution:
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\n" ); document.write( " $\"X+%2B+%28X+%2B+1%29+%2B+%28X+%2B+2%29+=+180\"$
\n" ); document.write( "Combine like terms
\n" ); document.write( " $\"3X+%2B+3+=+180\"$ Subtract 3 from both sides
\n" ); document.write( " $\"3X+=+177\"$ Divide both sides by 3
\n" ); document.write( " $\"highlight%28X+=+59%29\"$
\n" ); document.write( "Plug 59 into the equation for X
\n" ); document.write( " $\"X+%2B+%28X+%2B+1%29+%2B+%28X+%2B+2%29+=+180\"$
\n" ); document.write( " $\"59+%2B+%2859+%2B+1%29+%2B+%2859+%2B+2%29+=+180\"$
\n" ); document.write( " $\"59+%2B+60+%2B+61+=+180\"$
\n" ); document.write( " $\"180+=+180\"$
\n" ); document.write( "59, 60 & 61 are your three angles
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