Question

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

Explanation:

Step1: Identify supplementary angles

The two angles are same-side interior angles, so they sum to $180^\circ$.
$$(4x-1) + (10x-1) = 180$$

Step2: Simplify the left side

Combine like terms.
$$14x - 2 = 180$$

Step3: Isolate the variable term

Add 2 to both sides.
$$14x = 182$$

Step4: Solve for x

Divide both sides by 14.
$$x = \frac{182}{14} = 13$$

Answer:

$x=13$