document.write( "Question 550063: In triangle ABC, Anle A is larger than angle C and smaller then angle B by the same amount.If angle B is 67,angle c is? \n" ); document.write( "

Algebra.Com's Answer #358377 by fcabanski(1391) $\"\"$ $\"About$

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Anle A is larger than angle C and smaller then angle B by the same amount means:
\n" ); document.write( "A-C=B-A and since B=67 that becomes A-C=67-A.

\n" ); document.write( "Also known is that A+67+C=180. Manipulate this to get A in terms of C, so we can substitute that back into the first equation and then solve it for C.

\n" ); document.write( "A=180-67-C

\n" ); document.write( "180-67-C-C=67-180+67+C
\n" ); document.write( "113-2C=-46+C
\n" ); document.write( "-3C=-159
\n" ); document.write( "C=53
\n" ); document.write( "

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