Write and solve an equation that represents the value of x.

* 19 degrees
* (x - 50) degrees

1 answer

To create an equation using the provided information, we will set the expression for \(x\) in relation to \(19\) degrees and \((x - 50)\) degrees.

Since these two expressions might represent angles that sum to \(180\) degrees (like in a triangle), we can write:

\[ 19 + (x - 50) = 180 \]

Now, let's solve for \(x\):

  1. Combine the constants:

\[ 19 - 50 + x = 180 \]

This simplifies to:

\[ -31 + x = 180 \]

  1. Add \(31\) to both sides:

\[ x = 180 + 31 \]

  1. Calculate:

\[ x = 211 \]

Thus, the value of \(x\) is:

\[ \boxed{211} \]