Question

solve for x.
$(6x + 22)^circ$
$(64 - x)^circ$
$x = \square$

Explanation:

Step1: Identify supplementary angles

The angles are same-side interior angles, so they sum to $180^\circ$:
$$(6x + 22) + (64 - x) = 180$$

Step2: Simplify the left side

Combine like terms:
$$5x + 86 = 180$$

Step3: Isolate the variable term

Subtract 86 from both sides:
$$5x = 180 - 86$$
$$5x = 94$$

Step4: Solve for x

Divide both sides by 5:
$$x = \frac{94}{5}$$
$$x = 18.8$$

Answer:

$x = 18.8$