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: Use the property of alternate interior angles

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

Step2: Identify the relationship between the angles

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

Answer:

\(m = 78\) (i.e., the second option \(m = 78\))