Question

solve for x.

Explanation:

Answer:

To solve for \( x \), we recognize that \( CD \parallel EF \) (since the lines are parallel, as indicated by the direction of the arrows) and \( AB \) is a transversal. The angles \( (x + 120)^\circ \) and \( (2x)^\circ \) are same - side interior angles. For parallel lines cut by a transversal, same - side interior angles are supplementary, meaning their sum is \( 180^\circ \).

So we set up the equation:
\[
(x + 120)+2x=180
\]
Combine like terms:
\[
3x + 120=180
\]
Subtract 120 from both sides:
\[
3x=180 - 120
\]
\[
3x = 60
\]
Divide both sides by 3:
\[
x=\frac{60}{3}=20
\]

\( x = 20 \)