Question

directions: if l || m, solve for x. 5 (9x + 2) 119°

Explanation:

Step1: Identify angle - relationship

Since $l\parallel m$, the angle $(9x + 2)$ and the $119^{\circ}$ angle are corresponding angles (or alternate - exterior angles depending on the orientation), and they are equal. So we set up the equation $9x+2 = 119$.

Step2: Solve the equation for $x$

Subtract 2 from both sides of the equation: $9x=119 - 2$. So $9x = 117$.

Step3: Isolate $x$

Divide both sides of the equation $9x = 117$ by 9. We get $x=\frac{117}{9}=13$.

Answer:

$x = 13$