SOLUTION: In Triangle ABC, the measure of angle b is 34 degree more than three times the measure of angle A. the measure of angle c is 56 degrees more than than the measure of angle A. Find

Algebra ->  Angles -> SOLUTION: In Triangle ABC, the measure of angle b is 34 degree more than three times the measure of angle A. the measure of angle c is 56 degrees more than than the measure of angle A. Find       Log On


   



Question 667273: In Triangle ABC, the measure of angle b is 34 degree more than three times the measure of angle A. the measure of angle c is 56 degrees more than than the measure of angle A. Find the measure of each angle.
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
b = 34 + 3a
c = 56+a
a+b+c = 180
...
a + 34+3a + 56+a = 180
Combine like terms
5a = 180 - 34 - 56
5a = 90
highlight_green%28a+=+18%29
...
b = 34 + 3(18) = highlight_green%2888%29
...
c = 56 + 18 = highlight_green%2874%29
.....................
Delighted to help.
-Reading Boosters
Wanting for others what we want for ourselves.
www.MyHomeworkAnswers.com