Final answer:
The measures of angle 5 (m5) and angle 8 (m8) are both 71º.
Step-by-step explanation:
To find the angle measures in this scenario, we need to use the properties of parallel lines and transversals. Given that line a is parallel to line b, and m1 is 71º, we can determine the measures of angle 5 (m5) and angle 8 (m8).
Sinceline a and line b are parallel, angle 1 (m1) and angle 5 (m5) are corresponding angles. Corresponding angles formed by a transversal cutting parallel lines are congruent, so m5 is also 71º.
Similarly, angle 1 (m1) and angle 8 (m8) are vertical angles. Vertical angles are congruent, so m8 is also 71º.