Question

solve for x.

Explanation:

Step1: Use the property of alternate interior angles

Since \( JK\parallel LM\), \( \angle JNH\) and \( \angle LOH\) are alternate interior angles. So \(3x + 25=4x- 10\).

Step2: Solve the equation for \(x\)

Subtract \(3x\) from both sides of the equation: \(3x + 25-3x=4x-10 - 3x\), which simplifies to \(25=x - 10\).
Then add \(10\) to both sides: \(25 + 10=x-10 + 10\).

Answer:

\(x = 35\)