document.write( "Question 1113682: The interior angles of the quadrilateral are in the ratio of 1:2:3:4 . Find the measure of each angle. \n" ); document.write( "
Algebra.Com's Answer #728764 by Edwin McCravy(20056)\"\" \"About 
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document.write( "To break a sum up into 4 parts in the ratio a:b:c:d\r\n" );
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document.write( "a:b:c:d = ak:bk:ck:dk where k is not zero.\r\n" );
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document.write( "ak+bk+ck+dk = sum\r\n" );
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document.write( "k(a+b+c+d) = sum\r\n" );
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document.write( "k = sum/(a+b+c+d)\r\n" );
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document.write( "For our problem, a=1, b=2, c=3, d=4\r\n" );
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document.write( "The sum of the four interior angles of a quadrilateral is 360°,\r\n" );
document.write( "so sum = 360°\r\n" );
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document.write( "k = 360°/(1+2+3+4)\r\n" );
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document.write( "k = 360°/10\r\n" );
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document.write( "k = 36°\r\n" );
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document.write( "ak = 1(36°) = 36°\r\n" );
document.write( "bk = 2(36°) = 72°\r\n" );
document.write( "ck = 3(36°) = 108°\r\n" );
document.write( "dk = 4(36°) = 144°\r\n" );
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document.write( "Edwin
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