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QUESTION IMAGE

solve for x. x = submit

Question

solve for x.

x =
submit

Explanation:

Step1: Use the property of alternate exterior angles

Since \( JI\parallel LK\), the alternate exterior angles are equal. So, \(48 - 2x=54 - 8x\).

Step2: Solve the equation for \(x\)

Add \(8x\) to both sides: \(48 - 2x+8x=54 - 8x+8x\), which simplifies to \(48 + 6x=54\).
Subtract \(48\) from both sides: \(48 + 6x-48=54 - 48\), getting \(6x = 6\).
Divide both sides by \(6\): \(x=\frac{6}{6}=1\).

Answer:

\(1\)