Question

given $m\parallel n$, find the value of x. $(9x-4)^\circ$ $(2x+19)^\circ$

Explanation:

Step1: Identify supplementary angles

The two angles are same-side interior angles, so they sum to $180^\circ$.
$$(9x-4) + (2x+19) = 180$$

Step2: Combine like terms

Simplify the left-hand side of the equation.
$$11x + 15 = 180$$

Step3: Isolate the variable term

Subtract 15 from both sides.
$$11x = 180 - 15$$
$$11x = 165$$

Step4: Solve for x

Divide both sides by 11.
$$x = \frac{165}{11}$$

Answer:

$15$