Question

directions: if ( lparallel m ), solve for ( x ).
5.

Explanation:

Step1: Use the property of parallel lines

When two parallel lines are cut by a transversal, consecutive interior angles are supplementary. So, \(119+(9x + 2)=180\).

Step2: Simplify the equation

$$
LATEXBLOCK0
$$

Step3: Solve for \(x\)

Subtract \(121\) from both sides: \(9x=180 - 121\), so \(9x=59\). Then divide both sides by \(9\): \(x=\frac{59}{9}\approx6.56\).

Answer:

\(x = \frac{59}{9}\)