Question

guided practice
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look at the figure. find the value of x for which l || m.

Explanation:

Step1: Use the property of parallel lines

When two lines are parallel, the sum of the interior angles on the same side is \(180^{\circ}\). So, \(19x + 17x+27x= 180\).

Step2: Combine like terms

Combine the \(x\) - terms: \((19 + 17+27)x=180\), which is \(63x = 180\).

Step3: Solve for \(x\)

Divide both sides by \(63\): \(x=\frac{180}{63}=\frac{20}{7}\approx2.86\).

Answer:

\(x = \frac{20}{7}\)