Question

given ( m parallel n ), find the value of ( x ).

Explanation:

Step1: Identify supplementary angles

The two angles are same-side interior angles, so they sum to $180^\circ$.
$$(4x-4) + (6x-6) = 180$$

Step2: Simplify left side of equation

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

Step3: Isolate the term with $x$

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

Step4: Solve for $x$

Divide both sides by 10.
$$x = \frac{190}{10} = 19$$

Answer:

$19$