# Scalene triangle angles

1. Aug 11, 2016

### Frank212

1. The problem statement, all variables and given/known data
The three angles of a scalene triangle are x degrees, (x-12) degrees and (2x+6) degrees. What sizes are the angles?

2. Relevant equations
Triangle = a+b+c =180
Scalene = no equal size or angles

3. The attempt at a solution
So what do you do with (x-12) degrees and (2x+6) degrees?
I tried putting them all in an equation to isolate x but it was an incorrect approach. I can't equally divide the triangle since it's a scalene triangle. Can someone give me a clue?
x+(x-12)+(2x+6)=180
x=93/2

Last edited: Aug 11, 2016
2. Aug 11, 2016

### BvU

Hi,

Good. write it out using a+(b+c) = a+ b+ c etcetera...

3. Aug 11, 2016

### Math_QED

a + b + c = 180
=> (x-12)+(2x+6) + x = 180

Now isolate x, and verify your results by filling x in the original question.

What exactly do you mean by this?

4. Aug 11, 2016

### BvU

Hi Frank, (a bit belated, but welcome nevertheless )
I notice you had a similar problem earlier and managed to solve it. Do you recognize that you are in the same situation with the current problem ?

5. Aug 11, 2016

### Frank212

Yeah but I'm not trying to find one variable, I'm trying to find 3 angles, according to the answers

Obviously I know the answers now but I want to understand the step by step process behind it so I can learn from it.

6. Aug 11, 2016

### Frank212

Thanks a lot man, I got confused but now I understand it, after isolating x I just plug it into the equation.

x: 93/2 = 46.5 degrees
(x-12): 46.5-12= 34.5 degrees
a+b+c=180
46.5+34.5=81
180-81=99 degrees