Question

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

Explanation:

Step1: Identify the angle relationship

Since \( m \parallel n \) and \( t \) is a transversal, the angle of \( 78^\circ \) and \( x^\circ \) are alternate interior angles.

Step2: Apply the alternate interior angles theorem

Alternate interior angles are equal when two parallel lines are cut by a transversal. So \( x = 78 \).

Answer:

\( x = 78 \)