Question

find the value of x.

Explanation:

Step1: Use the property of alternate - interior angles

Since the two lines are parallel, the alternate - interior angles are equal. So, \(5x+30 = 180\) (because the sum of adjacent angles on a straight line formed by a transversal intersecting two parallel lines is \(180^{\circ}\)).

Step2: Solve the equation for \(x\)

Subtract \(30\) from both sides of the equation: \(5x=180 - 30\), which gives \(5x = 150\). Then divide both sides by \(5\): \(x=\frac{150}{5}\).

Answer:

\(x = 30\)