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two parallel lines are crossed by a transversal. what is the value of x…

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 cut by a transversal, the sum of adjacent angles on the same side of the transversal is \(180^{\circ}\). So, \(x + 70=180\).

Step2: Solve for \(x\)

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

Answer:

\(x = 110\)