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 supplementary angle

The angle adjacent to $78^\circ$ on line $e$ is $180^\circ - 78^\circ$.
$\angle = 180 - 78 = 102^\circ$

Step2: Apply parallel line angle rule

The $102^\circ$ angle and $m^\circ$ are corresponding angles, so they are equal.
$m = 102$

Answer:

C. $m = 102$