Question

solve for x.

x =

submit

Explanation:

Step1: Use the property of alternate interior angles

Since \(MN\parallel OP\), the alternate interior angles are equal. So, \(58 - 7x=54 - 3x\).

Step2: Solve the equation for \(x\)

Add \(7x\) to both sides: \(58=54 - 3x+7x\), which simplifies to \(58 = 54+4x\).
Subtract \(54\) from both sides: \(58 - 54=4x\), so \(4 = 4x\).
Divide both sides by \(4\): \(x=\frac{4}{4}\).

Answer:

\(x = 1\)