Final answer:
The measure of angle 1 and angle 3 is both 97 degrees.
Step-by-step explanation:
Since the two lines are parallel, the alternate interior angles formed by the transversal are congruent. Therefore, m<1 = m<8 = 97 degrees.
Additionally, m<3 is a vertical angle to m<1, so they are also congruent. Therefore, m<3 = m<1 = 97 degrees.