document.write( "Question 148511: Suppose that the interior angles of a convex pentagon are five consecutive numbers. What is the measure of the largest angle?\r
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Algebra.Com's Answer #108837 by mangopeeler07(462)![]() ![]() ![]() You can put this solution on YOUR website! The angles of a pentagon add up to 540. I f they are all consecutive, and they add up to 540, then:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x+(x+1)+(x+2)+(x+3)+(x+4)=540\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Combine like terms and get \n" ); document.write( "5x+10=540\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subtract 10 from each side \n" ); document.write( "5x=530\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Divide both sides by 5 \n" ); document.write( "x=106\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The largest angle is x+4. 106+4=110. \n" ); document.write( "So it is 110 degrees. \n" ); document.write( " |