SOLUTION: 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?

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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?
Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
Anle A is larger than angle C and smaller then angle B by the same amount means:
A-C=B-A and since B=67 that becomes A-C=67-A.


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.


A=180-67-C


180-67-C-C=67-180+67+C
113-2C=-46+C
-3C=-159
C=53

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