SOLUTION: in triangle ABC, angle C is three times as large as angle A. Angle B measures 5 degrees less than angle A. Find the measures of each angle

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Question 679717: in triangle ABC, angle C is three times as large as angle A. Angle B measures 5 degrees less than angle A. Find the measures of each angle
Answer by pmatei(79) About Me  (Show Source):
You can put this solution on YOUR website!
In any triangle:
angleA+%2B+angleB+%2B+angle+C+=+180
The problem states:
angle+C+=+3%2Aangle+A
angle+B+=+angleA+-+5
Substitute angleB and angleC in the first equation with the right side of the second and third equations:
angleA+%2B+%28angleA+-+5%29+%2B+%283%2AangleA%29+=+180
5%2AangleA+-+5+=+180
Add 5 to both sides of the equation:
5%2AangleA+=+185
Divide both sides by 5:
angleA+=+37
angleB+=+angleA+-+5+=+37-5=32
angleC+=+3%2AangleA+=+3%2A37+=+111
Solution check:
37+%2B+32+%2B+111+=+180