Question

set 4 angle relationships

use the parallel lines cut by a transversal to sol

1 find the value of x.

Explanation:

Step1: Use the property of alternate interior angles

When two parallel lines are cut by a transversal, alternate interior angles are equal. Here, \(5x^{\circ}\) and \(30^{\circ}\) are alternate interior angles. So, \(5x = 30\).

Step2: Solve for \(x\)

Divide both sides of the equation \(5x = 30\) by \(5\). We get \(x=\frac{30}{5}\).

Answer:

\(x = 6\)