Question

parallel lines/transversals
what is the value of x?
80°
(4x - 40)°

Explanation:

Step1: Use the property of alternate interior angles

Since the two lines are parallel and cut by a transversal, the alternate interior angles are equal. So, \(4x - 40=80\).

Step2: Solve the equation for \(x\)

Add \(40\) to both sides of the equation: \(4x-40 + 40=80 + 40\), which simplifies to \(4x=120\).
Then divide both sides by \(4\): \(x=\frac{120}{4}\).

Answer:

\(x = 30\)