Question

given ( m parallel n ), find the value of ( x ).
answer
attempt 2 out of 2
( x = )
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Explanation:

Step1: Identify supplementary angles

The two angles are same-side interior angles, so they sum to $180^\circ$.
$$(5x+24) + (6x-6) = 180$$

Step2: Simplify the left side

Combine like terms.
$$11x + 18 = 180$$

Step3: Isolate the variable term

Subtract 18 from both sides.
$$11x = 180 - 18$$
$$11x = 162$$

Step4: Solve for x

Divide both sides by 11.
$$x = \frac{162}{11}$$

Answer:

$x = \frac{162}{11}$ or approximately $14.73$