So im told to find the value of each variable. It's a X. One side equals 3xº and the other side says (80-x)º

3x=80-x
4x=80
x=20 As you can see the value I got was 20. But in another question it tells me to find the measure of the labeled angles. How do I do that?

There is no way for us to know what diagram you are looking at.

Your statement of "One side equals 3x° and the other side says (80-x)° " makes no sense
Sides are not measured in degrees, angles are .

The equation is solved correctly, assuming the equation is valid.

Its a big gigantic X . That's the diagram. Its a vertical angle

To find the measure of labeled angles, you need to use the information and equations given in the problem. Let's go through the steps:

1. Identify the given information: Look for any angles or relationships mentioned in the problem statement or the accompanying diagram.

2. Use angle relationships: Determine if there are any known relationships between the labeled angles and other angles in the diagram, such as supplementary angles or angles formed by parallel lines.

3. Solve the equations: If equations are provided in the problem, set them up and solve them to find the values of the variables. Use algebraic methods such as adding or subtracting like terms or applying specific properties of angles.

4. Substitute the values: Once you have found the values of the variables, substitute them back into the equations or angle relationships to find the measure of the labeled angles.

In your particular example, you mentioned an equation: 3x = 80 - x. By solving this equation, you found that x = 20. From here, follow step 4 and substitute the value of x back into the original problem or any angle relationships mentioned to find the measure of the labeled angles.

Remember to carefully read the problem for any specific instructions or angle relationships given.