Question

two parallel lines are crossed by a transversal. what is the value of x?
x = 40
x = 70
x = 110
x = 130

Explanation:

Step1: Use the property of supplementary angles

When two parallel lines are crossed by a transversal, the sum of adjacent angles on the same side of the transversal is \(180^{\circ}\). So, \(x + 70^{\circ}=180^{\circ}\).

Step2: Solve for \(x\)

Subtract \(70^{\circ}\) from both sides of the equation: \(x=180^{\circ}- 70^{\circ}\).

Answer:

\(x = 110\) (the third option)