Question

given ( m parallel n ), find the value of ( x ).

Explanation:

Step1: Identify supplementary angles

The angle of \(153^\circ\) and its adjacent angle on line \(m\) are supplementary (they form a linear pair), so the adjacent angle is \(180^\circ - 153^\circ = 27^\circ\).

Step2: Use alternate interior angles

Since \(m \parallel n\) and \(t\) is a transversal, the angle \(x\) and the \(27^\circ\) angle are alternate interior angles, so \(x = 27^\circ\).

Answer:

\(x = 27\)