Complete the proof Given: line b parallel to line c; angle 2 and angle 3 are supplementary

Prove: line a parallel to line b.

Word bank, in no specific order:

(a) angle 1 congruent to angle 2; (b) definition of congruence; (c) vertical angles; (d) line a parallel to line b; (e) given; (f) angle 2 and angle 3 are supplementary; (g) measure of angle 1 = measure of angle 2; (h) definition of supplementary; (i) transitive property of parallel lines; (j) consecutive exterior angles converse; (k) line a parallel to line c; (l) given; (m) line b parallel to line c; (n) substitution; (o) measure of angle 2 + measure of angle 3 = 180; (p) angle 1 and angle 3 are supplementary; (q) measure of angle 1 + measure of angle 3 = 180; (r) definition of supplementary