document.write( "Question 835723: Write an indirect proof that two obtuse angles cannot for a linear pair. \n" ); document.write( "
Algebra.Com's Answer #503686 by Edwin McCravy(20056)\"\" \"About 
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document.write( "Let the two obtuse angles are ∠A and ∠B,\r\n" );
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document.write( "Assume they form a linear pair.\r\n" );
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document.write( "1. m∠A + m∠B = 180°   by definition of a linear pair.\r\n" );
document.write( "2. m∠A > 90°          by definition of \"obtuse angle\"\r\n" );
document.write( "3. m∠B > 90°          by definition of \"obtuse angle\"\r\n" );
document.write( "   ----------\r\n" );
document.write( "4. m∠A + m∠B > 180°  adding unequals to unequals in the same order gives\r\n" );
document.write( "                      unequals in the same order.\r\n" );
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document.write( "Statement 4 contradicts statement 1.\r\n" );
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document.write( "Therefore obtuse angles ∠A  and ∠B cannot form a linear pair.\r\n" );
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document.write( "Edwin
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