document.write( "Question 1032785: If two angles are supplementary and congruent,then they are right angles. True or False?
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Algebra.Com's Answer #647369 by Edwin McCravy(20056) $\"\"$ $\"About$

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document.write( "Suppose ∠A and ∠B are supplementary and congruent.\r\n" );
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document.write( "Then since they are supplementary,\r\n" );
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document.write( "m∠A + m∠B = 180°\r\n" );
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document.write( "And since they are congruent,\r\n" );
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document.write( "m∠A = m∠B\r\n" );
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document.write( "Substituting equals for equals in m∠A + m∠B = 180°\r\n" );
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document.write( "m∠B + m∠B = 180°\r\n" );
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document.write( "2m∠B = 180°\r\n" );
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document.write( "Divings both sides by 2\r\n" );
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document.write( "m∠B = 90°\r\n" );
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document.write( "So ∠B is a right angle\r\n" );
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document.write( "And since m∠B = m∠A\r\n" );
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document.write( "m∠A = 90°\r\n" );
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document.write( "So ∠B is a right angle\r\n" );
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document.write( "So it's true that they are both right angles.\r\n" );
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document.write( "Edwin

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