Question

solve for x.

Explanation:

Answer:

To solve for \( x \), we first recognize that \( DE \parallel FG \) (since they are horizontal lines) and \( BC \) is a transversal. The angle \( (7x + 18)^\circ \) and the \( 81^\circ \) angle are corresponding angles, so they are equal.

Set up the equation:
\( 7x + 18 = 81 \)

Subtract 18 from both sides:
\( 7x = 81 - 18 \)
\( 7x = 63 \)

Divide both sides by 7:
\( x = \frac{63}{7} \)
\( x = 9 \)

So the value of \( x \) is \( \boxed{9} \).