Solve for X: Triangle Angles with Expressions 11X, 40X, and 80-X

Let's remember that the sum of angles in a triangle equals 180 degrees.

Therefore, we will use the following formula:

$A+B+C=180$

Let's input the known data:

$11x+40x+80-x=180$

We'll combine the x terms:

$50x+80=180$

We'll move terms to one side and maintain the appropriate sign:

$50x=180-80$

$50x=100$

We'll divide both sides by 50:

$x=2$