document.write( "Question 1014337: Three angles of a quadrilateral are in the ratio1:2:3.the sum of the smallest and the largest of these angles is equal to 180 degree find all the angles of the quadrilateral. \n" ); document.write( "

Algebra.Com's Answer #630652 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "Three angles of a quadrilateral are in the ratio1:2:3.the sum of the smallest and the largest of these angles is equal to 180 degree find all the angles of the quadrilateral.
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document.write( "According to the condition, the tree angles are \r\n" );
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document.write( "x, 2x and 3x,\r\n" );
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document.write( "where x is the measure of the smallest angle of these tree.\r\n" );
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document.write( "Next, according to the condition,\r\n" );
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document.write( "x + 3x = 180°.\r\n" );
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document.write( "Hence,  4x = 180,  and  x =  = 45°.\r\n" );
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document.write( "Now, the three angles are 45°, 90° and 135°.\r\n" );
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document.write( "The sum of the interior angles of a quadrilateral is 360°. Do you know it?\r\n" );
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document.write( "Now calculate yourself the missing angle.\r\n" );
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