document.write( "Question 1181777: Prove that the sum of three exterior angles of a triangle fromed by producing the sides in order is four right angles or 360° \n" ); document.write( "

Algebra.Com's Answer #811720 by ikleyn(52776) $\"\"$ $\"About$

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document.write( "Let  ,   and   are three interior angles of the triangle.\r\n" );
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document.write( "Then the respective exterior angles are  ,    and  .\r\n" );
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document.write( "The sum of exterior angles is then\r\n" );
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document.write( "     +  +  =  = 540° - 180° = 360°,\r\n" );
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document.write( "since the sum of interior angles of any triangle is 180°.\r\n" );
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