When we have a transversal across parallels, each of the numbered angles is either congruent or supplementary to angle 1. It's pretty obvious which is which; the obtuse ones are all 113 degrees and the acute ones are all 180 - 113 = 67 degrees.
1 and 2 form a linear pair so supplementary angles.
m∠2 = 67°
1 and 3 are corresponding angles, they're congruent
m∠3 = 113°
3 and 4 are a linear pair
m∠4 = 67°
3 and 5 are vertical angles, which are congruent
m∠5 = 113°
3 and 6 are a linear pair
m∠6 = 67°
1 and 7 are vertical angles
m∠7 = 113°
1 and 8 are a linear pair
m∠8 = 67°
