Question

two parallel lines are crossed by a transversal. what is the value of m? m = 68 m = 78 m = 102 m = 112

Explanation:

Step1: Recall the property of alternate interior angles

When two parallel lines are cut by a transversal, alternate interior angles are equal.

Step2: Identify the relationship between the angles

In the given figure, the angle of \(78^{\circ}\) and the angle \(m^{\circ}\) are alternate interior angles.

Answer:

\(m = 78\)