document.write( "Question 1071050: What is the exterior angle of a regular polygon in which the interior angle is three times the exterior angle. \n" ); document.write( "

Algebra.Com's Answer #685983 by ikleyn(52817) $\"\"$ $\"About$

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document.write( "I + E = 180,   (1)\r\n" );
document.write( "I = 3E.        (2)\r\n" );
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document.write( "Substitute expression (2) for I into equation (1). You will get\r\n" );
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document.write( "3E + E = 180  --->  4E = 180  --->  E =  = 45 degrees.\r\n" );
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document.write( "Answer.  Exterior angle is 45 degs.  Interior angle is 180 - 45 = 135 degs.\r\n" );
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