Question

given m||n, find the value of x.

Explanation:

Step1: Identify angle - relationship

When two parallel lines \(m\) and \(n\) are cut by a transversal \(t\), the given \(153^{\circ}\) angle and the angle with measure \(x^{\circ}\) are same - side interior angles.

Step2: Apply the property of same - side interior angles

Same - side interior angles of parallel lines are supplementary, so \(x + 153=180\).

Step3: Solve for \(x\)

Subtract 153 from both sides of the equation: \(x=180 - 153\).
\(x = 27\)

Answer:

\(27\)