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 is \(180^{\circ}\).
So, \(x + 70=180\).

Step2: Solve for \(x\)

Subtract \(70\) from both sides of the equation:
\(x=180 - 70\).
\(x = 110\).

Answer:

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