SOLUTION: In triangle ABC, the measure of angles A and B are in the ratio 1:3. Angle C is 5 degrees more than Angle A. Find the number of degrees of each angle. [Only an algebraic solution w

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Question 1139697: In triangle ABC, the measure of angles A and B are in the ratio 1:3. Angle C is 5 degrees more than Angle A. Find the number of degrees of each angle. [Only an algebraic solution will be accepted]

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+1%2F3+=+A%2FB+
+3A+=+B+
+C+=+A+%2B+5+
+A+%2B+B+%2B+C+=+180+
--------------------------
By substitution:
+A+%2B+3A+%2B+A+%2B+5+=+180+
+5A+=+175+
+A+=+35+
and
+C+=+A+%2B+5+
+C+=+35+%2B+5+
+C+=+40+
and
+B+=+3A+
+B+=+3%2A35+
+B+=+105+
------------------
The angles are 35, 40, 105
check:
+A+%2B+B+%2B+C+=+180+
+35+%2B+40+%2B+105+=+180+
+180+=+180+
OK