document.write( "Question 536464: The measures of the angles of a quadrilateral are in the ratio 2:4:5:7. Find the measures. \n" ); document.write( "

Algebra.Com's Answer #352367 by Edwin McCravy(20056) $\"\"$ $\"About$

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The measures of the angles of a quadrilateral are in the ratio 2:4:5:7.
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document.write( "The four interior angles of an n-side polygon is given by the formula\r\n" );
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document.write( " = ×180°\r\n" );
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document.write( "A quadrilateral has 4 sides so,\r\n" );
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document.write( " = (4-2)×180° = 2×180° = 360°\r\n" );
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document.write( "If we wish to divide a number N into 4 parts in the ratio of a:b:c:d, the\r\n" );
document.write( "parts are given by these formulas:\r\n" );
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document.write( "×N, ×N, ×N, and ×N\r\n" );
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document.write( "So since we wish to divide 360° into 4 parts in the ratio of 2:4:5:7 \r\n" );
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document.write( "×360° = ×360° = ×360° =  = 40°\r\n" );
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document.write( "×360° = ×360° = ×360° =  = 80°\r\n" );
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document.write( "×360° = ×360° =  = 100°\r\n" );
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document.write( "×360° = ×360° =  = 140°\r\n" );
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document.write( "We can check by adding the 4 angles to see if we get 360°\r\n" );
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document.write( "                  40° + 80° + 100° + 140° = 360°\r\n" );
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document.write( "We get 360°, so we must not have made any mistakes.\r\n" );
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document.write( "Edwin

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