document.write( "Question 206933: The degree measures of the angles of a pentagon are consecutive even integers. Find the measure of the largest angle. (Hint: The sum of the measures of the angles of a pentagon is 540 degrees.) \n" ); document.write( "

Algebra.Com's Answer #156433 by vleith(2983) $\"\"$ $\"About$

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A pentagon have 5 angles. You are told the sum of the angles is 540 AND that the angles are 5 consecutive even numbers.\r
\n" ); document.write( "\n" ); document.write( "Let a be the smallest angle. Then next four even consecutive numbers are a +2, a+ 4, a+6 and a+8.\r
\n" ); document.write( "\n" ); document.write( " $\"TotalSum+=+a+%2B+%28a%2B2%29+%2B+%28a%2B4%29+%2B+%28a%2B6%29+%2B+%28a%2B8%29\"$
\n" ); document.write( " $\"540+=+5a+%2B+20\"$
\n" ); document.write( " $\"520+=+5a\"$
\n" ); document.write( " $\"104+=+a\"$
\n" ); document.write( "You are asked to find the larges angle, that would be $\"a%2B8+=+104%2B8+=+112\"$ \n" ); document.write( "

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