Question

find the measure of angle 6.

Explanation:

Step1: Identify vertical - angle relationship

Angle 2 and the given 89° angle are vertical angles. So, $\angle2 = 89^{\circ}$.

Step2: Identify corresponding - angle relationship

Angle 2 and angle 6 are corresponding angles. Since the two lines are parallel, corresponding angles are equal. So, $\angle6=\angle2$.

Answer:

$89^{\circ}$