document.write( "Question 1039959: the angles of convex pentagon are in ratio 2:3:5:9:11 find measure of each angle? \n" ); document.write( "

Algebra.Com's Answer #654731 by solver91311(24713) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "The sum of the interior angles of any n-sided polygon is given by

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\n" ); document.write( "\n" ); document.write( "For the time being, I'm going to call that number

, and I leave it to you to calculate the value of

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\n" ); document.write( "\n" ); document.write( "If the angles are proportional, then all of the angles must have a common factor in their measures. We'll call that common factor

. So the first angle is

, the second is

, and so on. That means we can write:\r
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\n" ); document.write( "\n" ); document.write( "So once you have figured out the value of S, plug it into the equation and solve for

. Then calculate

, and so on. Check your work to make sure that the angles all add up to your value of

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\n" ); document.write( "\n" ); document.write( "John
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\n" ); document.write( "My calculator said it, I believe it, that settles it
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