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question given m||n, find the value of x. answer attempt 1 out of 2

Question

question given m||n, find the value of x. answer attempt 1 out of 2

Explanation:

Step1: Use the property of parallel lines and transversal

When two parallel lines \(m\parallel n\) are cut by a transversal, the sum of the interior angles on the same side of the transversal is \(180^{\circ}\). So, \(x + 35^{\circ}=180^{\circ}\).

Step2: Solve for \(x\)

Subtract \(35^{\circ}\) from both sides of the equation \(x + 35^{\circ}=180^{\circ}\). We get \(x=180^{\circ}- 35^{\circ}\).

Answer:

\(145^{\circ}\)