Question

given ( l parallel m parallel n ), find the value of ( x ).
answer
attempt 1 out of 2
( x = )
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Explanation:

Step1: Identify angle relationship

The angles $(6x-2)^\circ$ and $52^\circ$ are same-side exterior angles, so they are supplementary (sum to $180^\circ$).

Step2: Set up equation

$$(6x - 2) + 52 = 180$$

Step3: Simplify left side

$$6x + 50 = 180$$

Step4: Isolate term with $x$

$$6x = 180 - 50$$
$$6x = 130$$

Step5: Solve for $x$

$$x = \frac{130}{6} = \frac{65}{3} \approx 21.67$$

Answer:

$x = \frac{65}{3}$ or $x \approx 21.67$