document.write( "Question 311309: The ratio of the angle measures of a quadrilateral is 4:9:5:6. What is the measure of the smallest angle?\r
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document.write( "Thanks for your help.\r
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Algebra.Com's Answer #222641 by fractalier(6550)![]() ![]() You can put this solution on YOUR website! Every quadrilateral in a plane contains a total of 360 degrees. \n" ); document.write( "If the ratio of the interior angles is 4:9:5:6, we can set them equal to \n" ); document.write( "4x, 9x, 5x and 6x, and then set their sum equal to 360 degrees.\r \n" ); document.write( "\n" ); document.write( "Thus 4x + 9x + 5x + 6x = 360 \n" ); document.write( "24x = 360 \n" ); document.write( "x = 15 \n" ); document.write( "and the angles are then \n" ); document.write( "60, 135, 75, and 90 degrees, respectively. \n" ); document.write( " |