document.write( "Question 1054022: If one angle of a triangle is equal to the sum of the other two show that the triangle is a right angle \n" ); document.write( "

Algebra.Com's Answer #669227 by josmiceli(19441) $\"\"$ $\"About$

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Let the angles = $\"+a+\"$ , $\"+b+\"$ , and $\"+c+\"$
\n" ); document.write( "(1) $\"+a+=+b+%2B+c+\"$
\n" ); document.write( "The sum of the angles of a triangle
\n" ); document.write( "add up to $\"+180+\"$ degrees
\n" ); document.write( "----------------------------------
\n" ); document.write( "(2) $\"+a+%2B+b+%2B+c+=+180+\"$
\n" ); document.write( "Use (1) to make the substitution:
\n" ); document.write( " $\"+b+%2B+c+=+a+\"$
\n" ); document.write( "(2) $\"+a+%2B+a+=+180+\"$
\n" ); document.write( "(2) $\"+2a+=+180+\"$
\n" ); document.write( "(2) $\"+a+=+90+\"$
\n" ); document.write( "and, from (1),
\n" ); document.write( " $\"+b+%2B+c+=+90+\"$
\n" ); document.write( " \n" ); document.write( "

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