Question

solve for x.

Explanation:

Answer:

To solve for \( x \), we recognize that the two angles \( (x + 120)^\circ \) and \( (9x)^\circ \) are same - side interior angles formed by a transversal intersecting two parallel lines. Same - side interior angles are supplementary, meaning their sum is \( 180^\circ \).

So we set up the equation:

\((x + 120)+9x=180\)

Combine like terms:

\(10x + 120=180\)

Subtract 120 from both sides:

\(10x=180 - 120\)

\(10x = 60\)

Divide both sides by 10:

\(x=\frac{60}{10}=6\)

The value of \( x \) is \( 6 \).