SOLUTION: The first angle of a triangle is 15 degrees less than twice the third angle. The second angle is 25 degrees more than the third angle. what are the angles of the triangle?

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Question 693577: The first angle of a triangle is 15 degrees less than twice the third angle. The second angle is 25 degrees more than the third angle. what are the angles of the triangle?
Found 2 solutions by rfer, mouk:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
a1=2x-15
a2=x+25
a3=x
2x-15+x+25+x=180
4x=180-10
4x=170
x=170/4
x=42.5
2x-15=70
x+25=67.5

Answer by mouk(232) About Me  (Show Source):
You can put this solution on YOUR website!
Let the third angle be denoted by x.
Then, First angle = 2x-15
Second angle = x+25
and (by definition) Third angle = x
Now sum of angles = 180
so (2x-15) + (x+25) + x = 180
4x + 10 = 180
4x = 170
x = 42.5
Check First angle = 2x-15=70
Second angle=x+25=67.5
Third angle=42.5
sum=180