SOLUTION: One angle of a triangle has a measure of 47 degrees. Of the other two angles, one of them is 3 degrees smaller than three times the other angle. Find the measure of the two remain

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: One angle of a triangle has a measure of 47 degrees. Of the other two angles, one of them is 3 degrees smaller than three times the other angle. Find the measure of the two remain      Log On


   

Question 1045635: One angle of a triangle has a measure of 47 degrees. Of the other two angles, one of them is 3 degrees smaller than three times the other angle. Find the measure of the two remaining angle.
Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
unknown measures x and y.
47%2Bx%2By=180


Description of the unknown angle measures:
x=-3%2B3y

Do you see what to do next?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +A+ = one of the unknown angles in degrees
The other unknown angle is:
+3A+-+3+ degrees
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The sum of the angles is +180+ degrees, so
+47+%2B+A+%2B+3A+-+3+=+180+
+4A+=+180+-+47+%2B+3+
+4A+=+136+
+A+=+34+
and
+3A+-+3+=+3%2A34+-+3+
+3A+-+3+=+99+
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The 2 remaining angles are 34 degrees and 99 degrees
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check answer:
+47+%2B+A+%2B+3A+-+3+=+180+
+47+%2B+34+%2B+3%2A34+-+3+=+180+
+81+%2B+102+-+3+=+180+
+81+%2B+99+=+180+
+180+=+180+
OK