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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 = 110

x = 70

x = 130

x = 40

Explanation:

Step1: Use the property of adjacent 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, \(x + 70=180\)

Step2: Solve for \(x\)

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

Answer:

\(x = 110\)