document.write( "Question 202530: Determine the measure of the interior angle at vertex A.
\n" ); document.write( "It is a pentagon, at vertex A is 3x This is how it is set up\r
\n" ); document.write( "\n" ); document.write( " 4x
\n" ); document.write( " 4x 4x
\n" ); document.write( " 3x 3x vertex A
\n" ); document.write( "Answers
\n" ); document.write( "A. 150 B. 50 C.90 D.30
\n" ); document.write( "The answer is 90 but can't figure out how they got it.
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Algebra.Com's Answer #152729 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
You can start with the formula for the sum (S) of the interior angles of a polygon with n sides:
\n" ); document.write( "\"S+=+%28n-2%29%2A180\" In this problem, you have a pentagon so n =5.
\n" ); document.write( "The sum of the interior angles can be expressed as:
\n" ); document.write( "\"S+=+4x%2B4x%2B4x%2B3x%2B3x\" Add up the x's.
\n" ); document.write( "\"S+=+18x\" Now set this equal to \"%28n-2%29%2A180\" where n = 5 (for pentagon).
\n" ); document.write( "\"%285-2%29%2A180+=+18x\"
\n" ); document.write( "\"3%2A180+=+18x\" Divide both sides by 18.
\n" ); document.write( "\"3%2A10+=+x\" so that...
\n" ); document.write( "\"x+=+30\"
\n" ); document.write( "The angle at vertex A is 3*x, so...
\n" ); document.write( "\"3x+=+3%2A30\"=\"90\"
\n" ); document.write( "\"highlight%28A+=+90%29\"
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