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: Identify the relationship between angles

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

Step2: Determine the value of \(m\)

Here, the angle of \(78^{\circ}\) and \(m^{\circ}\) are alternate interior angles. So, \(m = 78\)

Answer:

\(m = 78\) (the second option)