Question

find the measure of angle 8.

Explanation:

Step1: Identify vertical - angle relationship

Angle 2 and the 65° angle are vertical angles, so $\angle2 = 65^{\circ}$.

Step2: Identify corresponding - angle relationship

Angle 2 and angle 8 are corresponding angles. Since corresponding angles are congruent when two parallel lines are cut by a transversal, $\angle8=\angle2$.

Answer:

$65^{\circ}$