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QUESTION IMAGE

solve for x. x =

Question

solve for x.
x =

Explanation:

Step1: Use the property of alternate interior angles

Since \( JK\parallel LM\), the angles \((3x + 25)^{\circ}\) and \((4x-10)^{\circ}\) are equal. So, \(3x + 25=4x - 10\).

Step2: Solve the equation for \(x\)

Subtract \(3x\) from both sides: \(25=x - 10\).
Then add \(10\) to both sides: \(x=25 + 10\).

Answer:

\(x = 35\)