In triangle​ ABC, the measure of angle B is 26 degrees ° more than three times the measure of angle A.  The measure of angle C is 49 degrees ° more than the measure of angle A. Find the measure of each angle.
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1 Answer

B=3A+26 and C=A+49.

Also, A+B+C=180 so A+3A+26+A+49=180.

Therefore, 5A+75=180, A+15=36 (dividing through by common factor 5).

So, A=36-15=21. We can work out B=3*21+26=89, C=21+49=70.

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