Question

find the measure of angle 8

Explanation:

Step1: Identify vertical - angle relationship

Angle 2 and the 65 - degree angle are vertical angles. So, $\angle2 = 65^{\circ}$.

Step2: Identify corresponding - angle relationship

Assume the two lines are parallel. Angle 6 and angle 2 are corresponding angles. So, $\angle6=\angle2 = 65^{\circ}$.

Step3: Identify angle - 8 and angle - 6 relationship

Angle 8 and angle 6 are vertical angles. Since vertical angles are equal, $\angle8=\angle6$.

Answer:

$65^{\circ}$