Algebra.Com's Answer #238468 by Edwin McCravy(20086)![\"\"](\"/images/stars/stars-13.gif\")  
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It is possible for the interior angles of a triangle to be in the ratio 1:2:6,
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document.write( "Yes it is possible.\r\n" );
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document.write( "Let the interior angles be 1x°, 2x° and 6x°\r\n" );
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document.write( "Since the sum of the three interior angles of a triangle is 180° \r\n" );
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document.write( "1x° + 2x° + 6x° = 180°\r\n" );
document.write( " 9x° = 180°\r\n" );
document.write( " x° = 20°\r\n" );
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document.write( "2x° = 40°\r\n" );
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document.write( "6x° = 120° \r\n" );
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document.write( "Yes by having angles 20°, 40°, and 120°\r\n" );
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document.write( "but is it possible for the exterior angles of a triangle to be in the ratio 1:2:6? Why or why not?\r\n" );
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document.write( "No, so let's find out why:\r\n" );
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document.write( "Let the exterior angles be 1x°, 2x° and 6x°\r\n" );
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document.write( "Since the sum of the three exterior angles of a triangle is 360° \r\n" );
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document.write( "1x° + 2x° + 6x° = 360°\r\n" );
document.write( " 9x° = 360°\r\n" );
document.write( " x° = 40°\r\n" );
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document.write( "2x° = 80°\r\n" );
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document.write( "6x° = 240° \r\n" );
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document.write( "No because an exterior angle of a triangle is the supplement\r\n" );
document.write( "of an interior angle, and 240° is a reflex angle, too big to \r\n" );
document.write( "be the supplement of any angle.\r\n" );
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document.write( "Edwin
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