Question

given $m\parallel n$, find the value of x.
answer attempt 1 out of 2
$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 $x \approx 21.11$