document.write( "Question 3298: Suppose the interior angles of a convex pentagon are five consecutive numbers, find the measure of the largest angle. \n" ); document.write( "

Algebra.Com's Answer #1433 by drglass(89) $\"\"$ $\"About$

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The formula for finding the interior angles of a regular polygon is:
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\n" ); document.write( "\n" ); document.write( " $\"I+=+180+-+%28360%2Fn%29\"$ , where n is the number of sides.
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\n" ); document.write( "\n" ); document.write( "The exterior angle is found by:

\n" ); document.write( " $\"E+=+180+-+I\"$ .

\n" ); document.write( "If we replace I with the formula for interior angles into this equation we get:\r
\n" ); document.write( "\n" ); document.write( " $\"E+=+180+-+%28180+-+%28360%2Fn%29%29+=+360%2Fn\"$ .
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\n" ); document.write( "\n" ); document.write( "We know E = 40 from the problem statement, so $\"n+=+%28360%2F40%29+=+9+\"$ \n" ); document.write( "

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