Question

look at these two parallel lines cut by a transversal, as shown below.
what is the value of x?
use the number pad to enter your answer in the box.

Explanation:

Step1: Use the property of parallel lines and transversal

When two parallel lines are cut by a transversal, corresponding angles are equal. So, \(2x + 18=74\).

Step2: Solve the equation for \(x\)

Subtract \(18\) from both sides of the equation: \(2x=74 - 18\), which simplifies to \(2x = 56\). Then divide both sides by \(2\): \(x=\frac{56}{2}\).

Answer:

\(28\)