Question

find the measure of angle 8.

Explanation:

Step1: Identify vertical - angle relationship

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

Step2: Identify corresponding - angle relationship

Angle 2 and angle 8 are corresponding angles. Since the lines are parallel (assumed from the context of angle - finding in this setup), corresponding angles are equal. So $\angle8=\angle2$.

Answer:

$65^{\circ}$