given $m\\parallel n$, find the value of x.\nanswer attempt 1 out of 2\n$x = $

Explanation:

Step1: Identify supplementary angles

The two angles are same-side interior angles, so they sum to $180^\circ$. $$(5x-14) + (4x+4) = 180$$

Step2: Simplify the left side

Combine like terms. $$9x - 10 = 180$$

Step3: Isolate the variable term

Add 10 to both sides. $$9x = 190$$

Step4: Solve for x

Divide both sides by 9. $$x = \frac{190}{9} \approx 21.11$$

Answer:

$x = \frac{190}{9}$ or $x \approx 21.11$