Question

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

Explanation:

Step1: Identify supplementary angles

The two given angles are same-side interior angles, so they sum to $180^\circ$.
$$(5x+23) + (6x-4) = 180$$

Step2: Simplify the left side

Combine like terms.
$$11x + 19 = 180$$

Step3: Isolate the variable term

Subtract 19 from both sides.
$$11x = 180 - 19$$
$$11x = 161$$

Step4: Solve for x

Divide both sides by 11.
$$x = \frac{161}{11}$$
$$x = 14.\overline{63}$$

Answer:

$x = \frac{161}{11}$ or $x \approx 14.64$